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Page print formating problem Maple 2024...

Asked by: Ronan 1341
pdf export table
May 15 2025
0  3

I have a print format problem in Maple 2024.  For documents I print out, I use a special layout where all the contents are inside a table. The table is rigged to print on A4 paper. This is useful for my math notes. I havent done this for 18+ months. There appears to be a bug in Maple 2024. Only the first page is printed. Things work ok in Maple 2023. Maybe it is a setting difference or corruption in my install. Could somebody confirm this. Also if you can reproduce the problem could you let me know if it is in Maple 2025. I haven't upgraded yet.

 

2025-05-15_Q_page_print_formating.mw 
2025-05-15_Q_page_print_formating_M_2023.pdf
2025-05-15_Q_page_print_formating_M_2024.pdf

How to find what changed in SupportTools after eac...

Asked by: nm 11373
update supporttools
May 06 2025
4  1

I asked similar question 5 years ago about Physics update but it was not possible to find this information

How-To-Find-What-Changed-In-Physics

I'd like to ask now again same about  SupportTools. Can one find out what update is actually included in new version?

Even if it is just 2-3 lines. It will be good if users had an idea what was fixed or improved in the new version.

Any update to software should inlcude such information. Not asking for details, just general information will be nice. Right now one does an update and have no idea at all what the new update fixed or improved which is not good.

May be such information can be displayed on screen after a user updates?

Can we plot this gain function in 3D from pde?...

Asked by: janhardo 700
pde differential-equations plotting
May 05 2025
3  3

Yes , i can ..a procedure for thiis?

> 

restart; with(plots); printf("Step 1: Declare l and b as free variables for the 3D plot.\n"); l := 'l'; b := 'b'; printf("Step 2: Set fixed values for remaining parameters.\n"); a := 1; c := 1; d := .2; f := 1; epsilon := 1; printf("Step 3: Define the 3D gain function G(l,b) with fixed a,c,d and variable l,b.\n"); G := proc (l, b) options operator, arrow; 2*Im(sqrt(-a^2*f*d-a*b+(1/2)*l^2-3*a+(1/2)*sqrt(-48*a^3*f*d+4*epsilon*l^3*c-24*a*epsilon*l*c+l^4+4*l^2*c^2-48*a^2*b-12*a*l^2+36*a^2))) end proc; printf("Step 4: Create a 3D surface plot of G(l,b).\n"); gainPlot := plot3d(G(l, b), l = -6 .. 4, b = .1 .. 1.2, labels = ["Wave number l", "Parameter b", "Gain G(l,b)"], title = "3D MI Gain Spectrum over (l, b)", shading = zhue, axes = boxed, grid = [60, 60]); printf("Step 5: Display the 3D surface plot.\n"); gainPlot

Step 1: Declare l and b as free variables for the 3D plot.
Step 2: Set fixed values for remaining parameters.
Step 3: Define the 3D gain function G(l,b) with fixed a,c,d and variable l,b.
Step 4: Create a 3D surface plot of G(l,b).
Step 5: Display the 3D surface plot.

  

 
 

 

Download can_we_plotthisin_3Dshapemprimes5-5-2025.mw

How generate systems of equation and solve?...

Asked by: SSMB 100
coefficients conjugate duplicate-question
May 05 2025
2  3

in here How we can seperate the coefficent of conjugate this conjugate sign how remove from my equation ?

> 

restart
> 

with(PDEtools)
> 

with(LinearAlgebra)
> 

NULL
> 

with(SolveTools)
> 

undeclare(prime)

`There is no more prime differentiation variable; all derivatives will be displayed as indexed functions`

 (1)
> 

declare(u(x, t)); declare(U(xi)); declare(V(xi)); declare(P(x, t)); declare(q(x, t))

u(x, t)*`will now be displayed as`*u

  

U(xi)*`will now be displayed as`*U

  

V(xi)*`will now be displayed as`*V

  

P(x, t)*`will now be displayed as`*P

  

q(x, t)*`will now be displayed as`*q

 (2)
> 

pde := I*(diff(u(x, t), t))+diff(u(x, t), `$`(x, 2))+abs(u(x, t))^2*u(x, t) = 0

I*(diff(u(x, t), t))+diff(diff(u(x, t), x), x)+abs(u(x, t))^2*u(x, t) = 0

 (3)
> 

S := u(x, t) = (sqrt(a)+P(x, t))*exp(I*a*t)

u(x, t) = (a^(1/2)+P(x, t))*exp(I*a*t)

 (4)
> 

S1 := conjugate(u(x, t)) = (sqrt(a)+conjugate(P(x, t)))*exp(-I*a*t)

conjugate(u(x, t)) = (a^(1/2)+conjugate(P(x, t)))*exp(-I*a*t)

 (5)
> 

Q := abs(u(x, t))^2 = u(x, t)*conjugate(u(x, t))

abs(u(x, t))^2 = u(x, t)*conjugate(u(x, t))

 (6)
> 

F1 := expand(simplify(subs({S, S1}, rhs(Q))))

a+a^(1/2)*P(x, t)+a^(1/2)*conjugate(P(x, t))+abs(P(x, t))^2

 (7)
> 

F2 := abs(u(x, t))^2 = remove(has, F1, abs(P(x, t))^2)

abs(u(x, t))^2 = a+a^(1/2)*P(x, t)+a^(1/2)*conjugate(P(x, t))

 (8)
> 

FF := collect(F2, sqrt(a))

abs(u(x, t))^2 = a+(P(x, t)+conjugate(P(x, t)))*a^(1/2)

 (9)
> 

F3 := abs(u(x, t))^2*u(x, t) = (a+(P(x, t)+conjugate(P(x, t)))*sqrt(a))*rhs(S)

abs(u(x, t))^2*u(x, t) = (a+(P(x, t)+conjugate(P(x, t)))*a^(1/2))*(a^(1/2)+P(x, t))*exp(I*a*t)

 (10)
> 

F4 := remove(has, F3, P(x, t)*conjugate(P(x, t)))

abs(u(x, t))^2*u(x, t) = (a+(P(x, t)+conjugate(P(x, t)))*a^(1/2))*(a^(1/2)+P(x, t))*exp(I*a*t)

 (11)
> 

expand(%)

abs(u(x, t))^2*u(x, t) = exp(I*a*t)*a^(3/2)+2*exp(I*a*t)*a*P(x, t)+exp(I*a*t)*a^(1/2)*P(x, t)^2+exp(I*a*t)*a*conjugate(P(x, t))+exp(I*a*t)*a^(1/2)*conjugate(P(x, t))*P(x, t)

 (12)
> 

pde_linear, pde_nonlinear := selectremove(proc (term) options operator, arrow; not has((eval(term, P(x, t) = T*P(x, t)))/T, T) end proc, expand(%))

() = (), abs(u(x, t))^2*u(x, t) = exp(I*a*t)*a^(3/2)+2*exp(I*a*t)*a*P(x, t)+exp(I*a*t)*a^(1/2)*P(x, t)^2+exp(I*a*t)*a*conjugate(P(x, t))+exp(I*a*t)*a^(1/2)*conjugate(P(x, t))*P(x, t)

 (13)
> 

F6 := abs(u(x, t))^2*u(x, t) = exp(I*a*t)*a^(3/2)+2*exp(I*a*t)*a*P(x, t)+exp(I*a*t)*a*conjugate(P(x, t))

abs(u(x, t))^2*u(x, t) = exp(a*t*I)*a^(3/2)+2*exp(a*t*I)*a*P(x, t)+exp(a*t*I)*a*conjugate(P(x, t))

 (14)
> 

subs({F6, S}, pde)

I*(diff((a^(1/2)+P(x, t))*exp(a*t*I), t))+diff(diff((a^(1/2)+P(x, t))*exp(a*t*I), x), x)+exp(a*t*I)*a^(3/2)+2*exp(a*t*I)*a*P(x, t)+exp(a*t*I)*a*conjugate(P(x, t)) = 0

 (15)
> 

eval(%)

I*((diff(P(x, t), t))*exp(a*t*I)+I*(a^(1/2)+P(x, t))*a*exp(a*t*I))+(diff(diff(P(x, t), x), x))*exp(a*t*I)+exp(a*t*I)*a^(3/2)+2*exp(a*t*I)*a*P(x, t)+exp(a*t*I)*a*conjugate(P(x, t)) = 0

 (16)
> 

expand(%)

I*(diff(P(x, t), t))*exp(a*t*I)+exp(a*t*I)*a*P(x, t)+(diff(diff(P(x, t), x), x))*exp(a*t*I)+exp(a*t*I)*a*conjugate(P(x, t)) = 0

 (17)
> 

expand(%/exp(I*a*t))

I*(diff(P(x, t), t))+a*P(x, t)+diff(diff(P(x, t), x), x)+a*conjugate(P(x, t)) = 0

 (18)
> 

PP := collect(%, a)

(P(x, t)+conjugate(P(x, t)))*a+I*(diff(P(x, t), t))+diff(diff(P(x, t), x), x) = 0

 (19)
> 

U1 := P(x, t) = r[1]*exp(I*(l*x-m*t))+r[2]*exp(-I*(l*x-m*t))

P(x, t) = r[1]*exp(I*(l*x-m*t))+r[2]*exp(-I*(l*x-m*t))

 (20)
> 

eval(subs(U1, PP))

(r[1]*exp(I*(l*x-m*t))+r[2]*exp(-I*(l*x-m*t))+conjugate(r[1]*exp(I*(l*x-m*t))+r[2]*exp(-I*(l*x-m*t))))*a+I*(-I*r[1]*m*exp(I*(l*x-m*t))+I*r[2]*m*exp(-I*(l*x-m*t)))-r[1]*l^2*exp(I*(l*x-m*t))-r[2]*l^2*exp(-I*(l*x-m*t)) = 0

 (21)
> 

simplify((r[1]*exp(I*(l*x-m*t))+r[2]*exp(-I*(l*x-m*t))+conjugate(r[1]*exp(I*(l*x-m*t))+r[2]*exp(-I*(l*x-m*t))))*a+I*(-I*r[1]*m*exp(I*(l*x-m*t))+I*r[2]*m*exp(-I*(l*x-m*t)))-r[1]*l^2*exp(I*(l*x-m*t))-r[2]*l^2*exp(-I*(l*x-m*t)) = 0)

conjugate(r[1]*exp(I*(l*x-m*t))+r[2]*exp(-I*(l*x-m*t)))*a+r[2]*(-l^2+a-m)*exp(-I*(l*x-m*t))+r[1]*exp(I*(l*x-m*t))*(-l^2+a+m) = 0

 (22)
> 

J := eval(%)

conjugate(r[1]*exp(I*(l*x-m*t))+r[2]*exp(-I*(l*x-m*t)))*a+r[2]*(-l^2+a-m)*exp(-I*(l*x-m*t))+r[1]*exp(I*(l*x-m*t))*(-l^2+a+m) = 0

 (23)
> 

expand(%)

a*conjugate(r[1])*exp(I*conjugate(m)*conjugate(t))/exp(I*conjugate(l)*conjugate(x))+a*conjugate(r[2])*exp(I*conjugate(l)*conjugate(x))/exp(I*conjugate(m)*conjugate(t))-r[2]*exp(I*m*t)*l^2/exp(I*l*x)+r[2]*exp(I*m*t)*a/exp(I*l*x)-r[2]*exp(I*m*t)*m/exp(I*l*x)-r[1]*exp(I*l*x)*l^2/exp(I*m*t)+r[1]*exp(I*l*x)*a/exp(I*m*t)+r[1]*exp(I*l*x)*m/exp(I*m*t) = 0

 (24)
> 

indets(%)

{a, l, m, t, x, r[1], r[2], exp(I*l*x), exp(I*m*t), exp(I*conjugate(l)*conjugate(x)), exp(I*conjugate(m)*conjugate(t)), conjugate(l), conjugate(m), conjugate(t), conjugate(x), conjugate(r[1]), conjugate(r[2])}

 (25)
> 

subs({exp(-I*(l*x-m*t)) = Y, exp(I*(l*x-m*t)) = X}, J)

conjugate(X*r[1]+Y*r[2])*a+r[2]*(-l^2+a-m)*Y+r[1]*X*(-l^2+a+m) = 0

 (26)
> 

collect(%, {X, Y})

conjugate(X*r[1]+Y*r[2])*a+r[2]*(-l^2+a-m)*Y+r[1]*X*(-l^2+a+m) = 0

 (27)

Download conjugate.mw

Clarifying and Solving a New ODE with Exponential ...

Asked by: salim-barzani 1585
ode differential-equations duplicate-question
May 03 2025
1  10

I am currently working with an ordinary differential equation (ODE) that I find difficult to express and solve accurately. In this ODE, the symbol f represents an exponential function rather than a typical variable, which adds to the confusion. Although I have followed the format used in related research papers, the results I obtain are not satisfactory.

Since this type of ODE is new and somewhat unfamiliar to me, I would greatly appreciate your guidance in:

  1. Properly formulating the ODE.

  2. Understanding the role of f in the context of exponential functions.

  3. Finding the correct and complete solutions.

  4. Learning how to clearly present each solution step by step.

Thank you in advance for your support.

AA.mw

Symbolic Factoring of Multiplicative Terms in Alge...

Asked by: salim-barzani 1585
factorization coefficients duplicate-question
May 02 2025
1  14

Manually factoring each equation in this system one by one is time-consuming and inefficient. Is there a way to automate the factoring of expressions into two multiplicative terms—some of which may be single-term factors—using code?

> 

restart
> 

with(PDEtools)
> 

NULL
> 

with(SolveTools)
> 

undeclare(prime)

`There is no more prime differentiation variable; all derivatives will be displayed as indexed functions`

 (1)
> 

G1 := 5*lambda^2*alpha[1]^4*alpha[0]*a[4]+lambda^2*alpha[1]^4*a[3]-10*lambda*alpha[1]^2*alpha[0]^3*a[4]+lambda*k^2*a[1]*alpha[1]^2-6*lambda*alpha[1]^2*alpha[0]^2*a[3]+alpha[0]^5*a[4]-k^2*a[1]*alpha[0]^2-3*lambda*alpha[1]^2*alpha[0]*a[2]+alpha[0]^4*a[3]+lambda*w*alpha[1]^2+alpha[0]^3*a[2]-w*alpha[0]^2+((lambda^2*a[4]*alpha[1]^5-10*lambda*a[4]*alpha[0]^2*alpha[1]^3-4*lambda*a[3]*alpha[0]*alpha[1]^3+5*a[4]*alpha[0]^4*alpha[1]-2*k^2*a[1]*alpha[0]*alpha[1]-lambda*a[2]*alpha[1]^3+4*a[3]*alpha[0]^3*alpha[1]+3*a[2]*alpha[0]^2*alpha[1]-2*w*alpha[0]*alpha[1])*(diff(G(xi), xi))+lambda^2*beta[0]*a[5]*alpha[1]^2-4*mu*lambda*alpha[1]^4*a[3]+5*lambda^2*beta[0]*alpha[1]^4*a[4]-3*lambda*beta[0]*alpha[1]^2*a[2]-lambda*beta[0]*a[5]*alpha[0]^2-(1/2)*lambda*a[1]*alpha[0]*beta[0]-2*k^2*a[1]*alpha[0]*beta[0]+12*mu*alpha[1]^2*alpha[0]^2*a[3]+6*mu*alpha[1]^2*alpha[0]*a[2]-2*mu*k^2*a[1]*alpha[1]^2-(1/2)*mu*lambda*alpha[1]^2*a[1]+20*mu*alpha[1]^2*alpha[0]^3*a[4]-20*mu*lambda*alpha[1]^4*alpha[0]*a[4]-2*mu*lambda*alpha[1]^2*a[5]*alpha[0]-30*lambda*beta[0]*alpha[1]^2*alpha[0]^2*a[4]-12*lambda*beta[0]*alpha[1]^2*alpha[0]*a[3]-2*w*alpha[0]*beta[0]+5*beta[0]*alpha[0]^4*a[4]+4*beta[0]*alpha[0]^3*a[3]+3*beta[0]*alpha[0]^2*a[2]-2*mu*w*alpha[1]^2)/G(xi)+((1/4)*(3*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*alpha[1]^2*a[1]+6*mu*beta[0]*alpha[1]^2*a[2]+3*mu*beta[0]*a[5]*alpha[0]^2-6*lambda*beta[0]^2*alpha[1]^2*a[3]-2*lambda*beta[0]^2*a[5]*alpha[0]+(6*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^2*alpha[0]^2*a[3]+(3*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^2*alpha[0]*a[2]-12*mu^2*alpha[1]^2*a[5]*alpha[0]+3*mu*a[1]*alpha[0]*beta[0]*(1/2)+10*beta[0]^2*alpha[0]^3*a[4]+6*beta[0]^2*alpha[0]^2*a[3]+3*beta[0]^2*alpha[0]*a[2]-k^2*a[1]*beta[0]^2+(10*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^2*alpha[0]^3*a[4]-(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*k^2*a[1]*alpha[1]^2+(5*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*alpha[1]^4*alpha[0]*a[4]+(4*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*alpha[1]^2*a[5]*alpha[0]+(1/2)*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*alpha[1]^2*lambda*a[1]-9*mu^2*alpha[1]^2*a[1]*(1/4)-(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*w*alpha[1]^2+(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2)*alpha[1]^4*a[3]-(1/4)*lambda*beta[0]^2*a[1]-30*lambda*beta[0]^2*alpha[1]^2*alpha[0]*a[4]+24*mu*beta[0]*alpha[1]^2*alpha[0]*a[3]+60*mu*beta[0]*alpha[1]^2*alpha[0]^2*a[4]+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^2*lambda*a[5]*alpha[0]-20*mu*lambda*beta[0]*alpha[1]^4*a[4]-7*mu*lambda*beta[0]*a[5]*alpha[1]^2+(2*mu*alpha[1]^3*a[2]-2*w*alpha[1]*beta[0]-4*lambda*beta[0]*alpha[1]^3*a[3]+8*mu*alpha[1]^3*alpha[0]*a[3]+mu*alpha[1]*a[5]*alpha[0]^2+(1/2)*mu*alpha[1]*alpha[0]*a[1]+20*mu*alpha[1]^3*alpha[0]^2*a[4]-4*mu*lambda*alpha[1]^5*a[4]-mu*lambda*alpha[1]^3*a[5]+20*beta[0]*alpha[1]*alpha[0]^3*a[4]+12*beta[0]*alpha[1]*alpha[0]^2*a[3]+6*beta[0]*alpha[1]*alpha[0]*a[2]-2*k^2*a[1]*alpha[1]*beta[0]-(1/2)*lambda*beta[0]*alpha[1]*a[1]-20*lambda*beta[0]*alpha[1]^3*alpha[0]*a[4]-2*lambda*beta[0]*a[5]*alpha[1]*alpha[0])*(diff(G(xi), xi))-w*beta[0]^2)/G(xi)^2+(((lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*alpha[1]^3*a[2]+(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2)*alpha[1]^5*a[4]+(2*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*alpha[1]^3*a[5]+3*beta[0]^2*alpha[1]*a[2]+3*mu*beta[0]*alpha[1]*a[1]*(1/2)+8*mu*beta[0]*alpha[1]^3*a[3]-2*lambda*beta[0]^2*a[5]*alpha[1]+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^3*alpha[0]*a[3]+(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]*a[5]*alpha[0]^2+(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*alpha[1]*alpha[0]*a[1]+(10*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^3*alpha[0]^2*a[4]+(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^3*lambda*a[5]+30*beta[0]^2*alpha[1]*alpha[0]^2*a[4]+12*beta[0]^2*alpha[1]*alpha[0]*a[3]-6*mu^2*alpha[1]^3*a[5]-10*lambda*beta[0]^2*alpha[1]^3*a[4]+40*mu*beta[0]*alpha[1]^3*alpha[0]*a[4]+8*mu*beta[0]*a[5]*alpha[1]*alpha[0])*(diff(G(xi), xi))+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*alpha[1]^4*a[3]+(5*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*beta[0]*alpha[1]^4*a[4]+(6*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*beta[0]*a[5]*alpha[1]^2-10*lambda*beta[0]^3*alpha[1]^2*a[4]+(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*alpha[1]^2*a[1]+(3*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]^2*a[2]+(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*a[5]*alpha[0]^2+(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*a[1]*alpha[0]*beta[0]+12*mu*beta[0]^2*alpha[1]^2*a[3]+6*mu*beta[0]^2*a[5]*alpha[0]+(20*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*alpha[1]^4*alpha[0]*a[4]+(10*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*alpha[1]^2*a[5]*alpha[0]+beta[0]^3*a[2]-14*mu^2*beta[0]*a[5]*alpha[1]^2+(30*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]^2*alpha[0]^2*a[4]+(5*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*lambda*a[5]*alpha[1]^2+(12*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]^2*alpha[0]*a[3]+60*mu*beta[0]^2*alpha[1]^2*alpha[0]*a[4]+mu*beta[0]^2*a[1]-lambda*beta[0]^3*a[5]+10*beta[0]^3*alpha[0]^2*a[4]+4*beta[0]^3*alpha[0]*a[3])/G(xi)^3+((4*beta[0]^3*alpha[1]*a[3]+(1/2)*(3*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]*a[1]+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]^3*a[3]+7*mu*beta[0]^2*a[5]*alpha[1]+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*alpha[1]^5*a[4]+(5*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*alpha[1]^3*a[5]+20*beta[0]^3*alpha[1]*alpha[0]*a[4]+20*mu*beta[0]^2*alpha[1]^3*a[4]+(20*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]^3*alpha[0]*a[4]+(8*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*a[5]*alpha[1]*alpha[0])*(diff(G(xi), xi))+20*mu*beta[0]^3*alpha[1]^2*a[4]+(6*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*alpha[1]^2*a[3]+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*a[5]*alpha[0]+5*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^4*alpha[0]*a[4]+4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^2*a[5]*alpha[0]+(17*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*beta[0]*a[5]*alpha[1]^2+(20*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*beta[0]*alpha[1]^4*a[4]+beta[0]^4*a[3]+(30*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*alpha[1]^2*alpha[0]*a[4]+(1/4)*(3*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*a[1]+3*mu*beta[0]^3*a[5]+5*beta[0]^4*alpha[0]*a[4]+(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^4*a[3]+3*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^2*a[1]*(1/4))/G(xi)^4+(((lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^5*a[4]+2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^3*a[5]+5*beta[0]^4*alpha[1]*a[4]+(6*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*a[5]*alpha[1]+(10*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*alpha[1]^3*a[4])*(diff(G(xi), xi))+(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^3*a[5]+(10*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^3*alpha[1]^2*a[4]+5*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*beta[0]*alpha[1]^4*a[4]+6*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*beta[0]*a[5]*alpha[1]^2+beta[0]^5*a[4])/G(xi)^5 = 0
> 

indets(G1)

{k, lambda, mu, w, xi, B[1], B[2], a[1], a[2], a[3], a[4], a[5], alpha[0], alpha[1], beta[0], G(xi), diff(G(xi), xi)}

 (2)

``

 (3)
> 

eq0 := 5*lambda^2*a[4]*alpha[0]*alpha[1]^4+lambda^2*a[3]*alpha[1]^4-10*lambda*a[4]*alpha[0]^3*alpha[1]^2+k^2*lambda*a[1]*alpha[1]^2-6*lambda*a[3]*alpha[0]^2*alpha[1]^2+a[4]*alpha[0]^5-k^2*a[1]*alpha[0]^2-3*lambda*a[2]*alpha[0]*alpha[1]^2+a[3]*alpha[0]^4+lambda*w*alpha[1]^2+a[2]*alpha[0]^3-w*alpha[0]^2 = 0
> 

``
> 

eq1 := lambda^2*a[4]*alpha[1]^5-10*lambda*a[4]*alpha[0]^2*alpha[1]^3-4*lambda*a[3]*alpha[0]*alpha[1]^3+5*a[4]*alpha[0]^4*alpha[1]-2*k^2*a[1]*alpha[0]*alpha[1]-lambda*a[2]*alpha[1]^3+4*a[3]*alpha[0]^3*alpha[1]+3*a[2]*alpha[0]^2*alpha[1]-2*w*alpha[0]*alpha[1] = 0
> 

eq2 := lambda^2*beta[0]*a[5]*alpha[1]^2+6*mu*alpha[1]^2*alpha[0]*a[2]-2*mu*k^2*a[1]*alpha[1]^2-(1/2)*mu*alpha[1]^2*lambda*a[1]+20*mu*alpha[1]^2*alpha[0]^3*a[4]+12*mu*alpha[1]^2*alpha[0]^2*a[3]-(1/2)*lambda*a[1]*alpha[0]*beta[0]-2*k^2*a[1]*alpha[0]*beta[0]-3*lambda*beta[0]*alpha[1]^2*a[2]-lambda*beta[0]*a[5]*alpha[0]^2+5*lambda^2*beta[0]*alpha[1]^4*a[4]-4*mu*lambda*alpha[1]^4*a[3]-2*mu*w*alpha[1]^2+5*beta[0]*alpha[0]^4*a[4]+4*beta[0]*alpha[0]^3*a[3]+3*beta[0]*alpha[0]^2*a[2]-2*w*alpha[0]*beta[0]-20*mu*lambda*alpha[1]^4*alpha[0]*a[4]-2*mu*alpha[1]^2*lambda*a[5]*alpha[0]-30*lambda*beta[0]*alpha[1]^2*alpha[0]^2*a[4]-12*lambda*beta[0]*alpha[1]^2*alpha[0]*a[3] = 0
> 

NULL
> 

eq3 := (1/4)*(3*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*alpha[1]^2*a[1]-(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*k^2*a[1]*alpha[1]^2+(1/2)*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*alpha[1]^2*lambda*a[1]+(5*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*alpha[1]^4*alpha[0]*a[4]+(10*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^2*alpha[0]^3*a[4]+(6*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^2*alpha[0]^2*a[3]-30*lambda*beta[0]^2*alpha[1]^2*alpha[0]*a[4]-20*mu*beta[0]*lambda*alpha[1]^4*a[4]+(4*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*alpha[1]^2*a[5]*alpha[0]-12*mu^2*alpha[1]^2*a[5]*alpha[0]+(3*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^2*alpha[0]*a[2]+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^2*lambda*a[5]*alpha[0]-7*mu*beta[0]*lambda*a[5]*alpha[1]^2+24*mu*beta[0]*alpha[1]^2*alpha[0]*a[3]-9*mu^2*alpha[1]^2*a[1]*(1/4)-w*beta[0]^2+3*beta[0]^2*alpha[0]*a[2]-(1/4)*lambda*beta[0]^2*a[1]-k^2*a[1]*beta[0]^2+10*beta[0]^2*alpha[0]^3*a[4]+6*beta[0]^2*alpha[0]^2*a[3]-(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*w*alpha[1]^2+3*mu*a[1]*alpha[0]*beta[0]*(1/2)+(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2)*alpha[1]^4*a[3]+3*mu*beta[0]*a[5]*alpha[0]^2-6*lambda*beta[0]^2*alpha[1]^2*a[3]-2*lambda*beta[0]^2*a[5]*alpha[0]+6*mu*beta[0]*alpha[1]^2*a[2]+60*mu*beta[0]*alpha[1]^2*alpha[0]^2*a[4] = 0
> 

eq4 := 2*mu*alpha[1]^3*a[2]-2*w*alpha[1]*beta[0]-20*lambda*beta[0]*alpha[1]^3*alpha[0]*a[4]-2*lambda*beta[0]*a[5]*alpha[1]*alpha[0]-2*k^2*a[1]*alpha[1]*beta[0]+20*beta[0]*alpha[1]*alpha[0]^3*a[4]+12*beta[0]*alpha[1]*alpha[0]^2*a[3]+6*beta[0]*alpha[1]*alpha[0]*a[2]+8*mu*alpha[1]^3*alpha[0]*a[3]+mu*alpha[1]*a[5]*alpha[0]^2+(1/2)*mu*alpha[1]*alpha[0]*a[1]-4*lambda*beta[0]*alpha[1]^3*a[3]-lambda*alpha[1]^3*mu*a[5]-(1/2)*lambda*beta[0]*alpha[1]*a[1]+20*mu*alpha[1]^3*alpha[0]^2*a[4]-4*mu*lambda*alpha[1]^5*a[4] = 0
> 

eq5 := -6*mu^2*alpha[1]^3*a[5]+(2*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*alpha[1]^3*a[5]+(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*alpha[1]^3*a[2]+(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2)*alpha[1]^5*a[4]+3*beta[0]^2*alpha[1]*a[2]+40*mu*beta[0]*alpha[1]^3*alpha[0]*a[4]+8*mu*beta[0]*a[5]*alpha[1]*alpha[0]+30*beta[0]^2*alpha[1]*alpha[0]^2*a[4]+12*beta[0]^2*alpha[1]*alpha[0]*a[3]+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^3*alpha[0]*a[3]+(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]*a[5]*alpha[0]^2+(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*alpha[1]*alpha[0]*a[1]+8*mu*beta[0]*alpha[1]^3*a[3]+3*mu*beta[0]*alpha[1]*a[1]*(1/2)-10*lambda*beta[0]^2*alpha[1]^3*a[4]-2*lambda*beta[0]^2*a[5]*alpha[1]+(10*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^3*alpha[0]^2*a[4]+(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^3*lambda*a[5] = 0
> 

eq6 := -14*mu^2*beta[0]*a[5]*alpha[1]^2+beta[0]^3*a[2]+(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)*a[1]*alpha[0]*beta[0]+12*mu*beta[0]^2*alpha[1]^2*a[3]+6*mu*beta[0]^2*a[5]*alpha[0]-10*lambda*beta[0]^3*alpha[1]^2*a[4]+(6*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*beta[0]*a[5]*alpha[1]^2+(3*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]^2*a[2]+(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*a[5]*alpha[0]^2+(5*(-(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*lambda+4*mu^2))*beta[0]*alpha[1]^4*a[4]+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*alpha[1]^4*a[3]+(2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*alpha[1]^2*a[1]+10*beta[0]^3*alpha[0]^2*a[4]+4*beta[0]^3*alpha[0]*a[3]-lambda*beta[0]^3*a[5]+mu*beta[0]^2*a[1]+(20*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*alpha[1]^4*alpha[0]*a[4]+(10*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*alpha[1]^2*a[5]*alpha[0]+(30*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]^2*alpha[0]^2*a[4]+(5*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*lambda*a[5]*alpha[1]^2+(12*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]^2*alpha[0]*a[3]+60*mu*beta[0]^2*alpha[1]^2*alpha[0]*a[4] = 0
> 

eq7 := 4*beta[0]^3*alpha[1]*a[3]+(20*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]^3*alpha[0]*a[4]+(8*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*a[5]*alpha[1]*alpha[0]+20*beta[0]^3*alpha[1]*alpha[0]*a[4]+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]^3*a[3]+(5*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*alpha[1]^3*mu*a[5]+(1/2)*(3*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*alpha[1]*a[1]+20*mu*beta[0]^2*alpha[1]^3*a[4]+7*mu*beta[0]^2*a[5]*alpha[1]+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*mu*alpha[1]^5*a[4] = 0
> 

eq8 := 4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^2*a[5]*alpha[0]+5*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^4*alpha[0]*a[4]+beta[0]^4*a[3]+(6*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*alpha[1]^2*a[3]+(4*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*a[5]*alpha[0]+20*mu*beta[0]^3*alpha[1]^2*a[4]+(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^4*a[3]+3*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^2*a[1]*(1/4)+5*beta[0]^4*alpha[0]*a[4]+3*mu*beta[0]^3*a[5]+(1/4)*(3*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*a[1]+(30*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*alpha[1]^2*alpha[0]*a[4]+(17*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*mu*a[5]*alpha[1]^2+(20*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]*mu*alpha[1]^4*a[4] = 0
> 

eq9 := (10*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*alpha[1]^3*a[4]+(6*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^2*a[5]*alpha[1]+5*beta[0]^4*alpha[1]*a[4]+(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^5*a[4]+2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*alpha[1]^3*a[5] = 0
> 

eq10 := (2*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^3*a[5]+beta[0]^5*a[4]+5*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*beta[0]*alpha[1]^4*a[4]+6*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda)^2*beta[0]*a[5]*alpha[1]^2+(10*(lambda*B[1]^2-lambda*B[2]^2-mu^2/lambda))*beta[0]^3*alpha[1]^2*a[4] = 0
 
> 

with(LargeExpressions)
> 

COEFFS := solve({eq0, eq1, eq10, eq2, eq3, eq4, eq5, eq6, eq7, eq8, eq9}, {w, a[1], a[2], alpha[0], alpha[1], beta[0]})

Download by_hand!.mw

Can Maple Handle Fuzzy Derivatives and Plotting in...

Asked by: salim-barzani 1585
derivative plotting
May 02 2025
1  1

This question is actually on behalf of a colleague who works with fuzzy mathematics. He typically computes things like fuzzy derivatives by hand, including for specific functions such as "function 14" (though I'm not familiar with the specific form of that function). He’s interested in whether Maple can symbolically and numerically handle tasks in fuzzy calculus — especially taking and plotting fuzzy derivatives.

I’m not experienced with fuzzy systems myself, but I’d like to recommend Maple to him if it supports these features. So my main questions are:

  1. Can Maple compute and plot fuzzy functions and their derivatives?

  2. Does Maple have built-in support or packages for fuzzy arithmetic or fuzzy calculus?

  3. If not natively, is there a workaround or external library that integrates with Maple to do this?

I’d really appreciate any insights or examples. It seems like a missed opportunity for my friend to be doing all this manually when such software might already handle it.

Thanks in advance!

 

why some help pages are empty?...

Asked by: nm 11373
documentation
May 01 2025
3  1

This happens in Maple 2025, but when I checked Maple 2024.2, same thing happen.

To reproduce, I typed ?coeff in the worksheet. Now the help page for coeff comes up OK. On the right, there are some links below "see also". 

Clicking on the one that says PolynomialTools[CoefficientVector] and now an EMPTY page opens up.

Also, typing ?PolynomialTools in worksheet, opens the help page for Overview of the PolynomialTools Package. Now clicking on CoefficientList link, opens an EMPTY page. Same when clicking on CoefficientVector, an EMPTY page !

Have not checked all the links in the help page, but why are some commands have empty help pages?

 

 

Slider Plot and Value Substitution Help...

Asked by: Andiguys 65
parameters explore plotting
April 29 2025
0  4

I need to create a slider plot for A10, A11, and A12 by varying the parameters theta, Pu, and a.
I have a syntax ready — could you suggest modifications to make it work correctly and generate the plot?

Additionally, is it possible to compute the values of A13 and A14 by substituting the obtained A10, A11, and A12 values for each combination of theta, Pu, and a from the slider plot?

Sheet attached: Slider_Q.mw

Compute integral exactly ...

Asked by: Zeineb 540
integration
April 27 2025
0  0

Dear all 
I have a double integral, i want to compute this integral and verify if the pproposed solution verify the proposed equation or not. 
I can modify the right hand side of my equation or the exact solution, so that my equation has an exact solution with simple form of right hand side. 

exact_solution.mw

Thank you for your help 

Some questions about MapleCloud ...

Asked by: C_R 3437
browser gui
April 24 2025
0  2

MapleCloud opend from Maple2025 and 2024.

Has this extended scrollbar always been like this?
Maybe it is a browser thing.
Which browser is Maple using?
Are there any settings I could adjust?

Discontinuities in branch cuts....

Asked by: Christian Wolinski 1650
discontinuity functionadvisor
April 20 2025
0  1

When using FunctionAdvisor(branch_cuts, f(x), plot="2D"); how do I enforce discontinuous lines be presented with option discont=true?

How i can find the parameter in PDE ?...

Asked by: salim-barzani 1585
parameters substitution pde
April 19 2025
3  6

How i can get this special parameter i try to do substitution in another mw file but stilli can't reach this parameter and without this parameter my PDE is not give me zero so i have to find this r[i] parameter, some letter of my mw file are not similar to paper but r[i]=l[i] as mention is paper al clear and i found all structure just this remain, i am looking for equation (14), thanks for any help 

> 

restart
> 

with(PDEtools)
> 

with(LinearAlgebra)
> 

NULL
> 

with(SolveTools)
> 

_local(gamma)

Warning, A new binding for the name `gamma` has been created. The global instance of this name is still accessible using the :- prefix, :-`gamma`.  See ?protect for details.

  
> 

NULL
> 

declare(u(x, y, z, t))

u(x, y, z, t)*`will now be displayed as`*u

 (1)
> 

declare(f(x, y, z, t))

f(x, y, z, t)*`will now be displayed as`*f

 (2)
> 

pde1 := a*(diff(u(x, y, z, t), x, t))-((a^4-6*a^2*b^2+b^4)*(1/16))*(diff(u(x, y, z, t), `$`(x, 4)))-(1/4)*(3*(-a^2+b^2))*(diff(u(x, y, z, t)^2, `$`(x, 2)))+alpha*(diff(u(x, y, z, t), `$`(x, 2)))+beta*(diff(u(x, y, z, t), x, y))+delta*(diff(u(x, y, z, t), x, z))+lambda*(diff(u(x, y, z, t), `$`(z, 2)))+mu*(diff(u(x, y, z, t), y, z))+mu^2*(diff(u(x, y, z, t), `$`(y, 2)))/(4*lambda)

a*(diff(diff(u(x, y, z, t), t), x))-(1/16)*(a^4-6*a^2*b^2+b^4)*(diff(diff(diff(diff(u(x, y, z, t), x), x), x), x))-(3/4)*(-a^2+b^2)*(2*(diff(u(x, y, z, t), x))^2+2*u(x, y, z, t)*(diff(diff(u(x, y, z, t), x), x)))+alpha*(diff(diff(u(x, y, z, t), x), x))+beta*(diff(diff(u(x, y, z, t), x), y))+delta*(diff(diff(u(x, y, z, t), x), z))+lambda*(diff(diff(u(x, y, z, t), z), z))+mu*(diff(diff(u(x, y, z, t), y), z))+(1/4)*mu^2*(diff(diff(u(x, y, z, t), y), y))/lambda

 (3)
> 

Tr := {beta = alpha, delta = alpha, mu = 2*lambda}

{beta = alpha, delta = alpha, mu = 2*lambda}

 (4)
> 

pde := subs(Tr, pde1)

a*(diff(diff(u(x, y, z, t), t), x))-(1/16)*(a^4-6*a^2*b^2+b^4)*(diff(diff(diff(diff(u(x, y, z, t), x), x), x), x))-(3/4)*(-a^2+b^2)*(2*(diff(u(x, y, z, t), x))^2+2*u(x, y, z, t)*(diff(diff(u(x, y, z, t), x), x)))+alpha*(diff(diff(u(x, y, z, t), x), x))+alpha*(diff(diff(u(x, y, z, t), x), y))+alpha*(diff(diff(u(x, y, z, t), x), z))+lambda*(diff(diff(u(x, y, z, t), z), z))+2*lambda*(diff(diff(u(x, y, z, t), y), z))+lambda*(diff(diff(u(x, y, z, t), y), y))

 (5)
> 

pde_linear, pde_nonlinear := selectremove(proc (term) options operator, arrow; not has((eval(term, u(x, y, z, t) = T*u(x, y, z, t)))/T, T) end proc, expand(pde))

a*(diff(diff(u(x, y, z, t), t), x))-(1/16)*(diff(diff(diff(diff(u(x, y, z, t), x), x), x), x))*a^4+(3/8)*(diff(diff(diff(diff(u(x, y, z, t), x), x), x), x))*a^2*b^2-(1/16)*(diff(diff(diff(diff(u(x, y, z, t), x), x), x), x))*b^4+alpha*(diff(diff(u(x, y, z, t), x), x))+alpha*(diff(diff(u(x, y, z, t), x), y))+alpha*(diff(diff(u(x, y, z, t), x), z))+lambda*(diff(diff(u(x, y, z, t), z), z))+2*lambda*(diff(diff(u(x, y, z, t), y), z))+lambda*(diff(diff(u(x, y, z, t), y), y)), (3/2)*(diff(u(x, y, z, t), x))^2*a^2-(3/2)*(diff(u(x, y, z, t), x))^2*b^2+(3/2)*u(x, y, z, t)*(diff(diff(u(x, y, z, t), x), x))*a^2-(3/2)*u(x, y, z, t)*(diff(diff(u(x, y, z, t), x), x))*b^2

 (6)
> 

NULL
> 

eq17 := u(x, y, z, t) = (-a^4+6*a^2*b^2-b^4)*((diff(diff(f(x, y, z, t), x), x))/f(x, y, z, t)-(diff(f(x, y, z, t), x))^2/f(x, y, z, t)^2)/(2*a^2-2*b^2)
> 

``NULL
> 

betai := k[i]*(t*w[i]+y*l[i]+z*r[i]+x)+eta[i]

k[i]*(t*w[i]+y*l[i]+z*r[i]+x)+eta[i]

 (7)
> 

W := w[i] = ((a^4-6*a^2*b^2+b^4)*k[i]^2-16*lambda*l[i]^2+(-32*lambda*r[i]-16*alpha)*l[i]-16*lambda*r[i]^2-16*alpha*r[i]-16*alpha)/(16*a)
> 

AA := A[12] = (16*(l[1]-l[2]+r[1]-r[2])^2*lambda+3*(k[1]-k[2])^2*(a^2+2*a*b-b^2)*(a^2-2*a*b-b^2))/(16*(l[1]-l[2]+r[1]-r[2])^2*lambda+3*(k[1]+k[2])^2*(a^2+2*a*b-b^2)*(a^2-2*a*b-b^2))
> 

F2 := 1+exp(beta[1])+A[1, 2]*exp(beta[1]+beta[2])+exp(beta[2])

1+exp(beta[1])+A[1, 2]*exp(beta[1]+beta[2])+exp(beta[2])

 (8)
> 

NULL
> 

F22 := f(x, y, z, t) = 1+exp((a^4*t*k[1]^3-6*a^2*b^2*t*k[1]^3+b^4*t*k[1]^3-16*lambda*t*k[1]*l[1]^2-32*lambda*t*k[1]*l[1]*r[1]-16*lambda*t*k[1]*r[1]^2+16*a*y*k[1]*l[1]+16*a*z*k[1]*r[1]-16*alpha*t*k[1]*l[1]-16*alpha*t*k[1]*r[1]+16*a*x*k[1]-16*alpha*t*k[1]+16*a*eta[1])/(16*a))+exp((a^4*t*k[2]^3-6*a^2*b^2*t*k[2]^3+b^4*t*k[2]^3-16*lambda*t*k[2]*l[2]^2-32*lambda*t*k[2]*l[2]*r[2]-16*lambda*t*k[2]*r[2]^2+16*a*y*k[2]*l[2]+16*a*z*k[2]*r[2]-16*alpha*t*k[2]*l[2]-16*alpha*t*k[2]*r[2]+16*a*x*k[2]-16*alpha*t*k[2]+16*a*eta[2])/(16*a))
> 

eq := eval(eq17, F22)

u(x, y, z, t) = (-a^4+6*a^2*b^2-b^4)*((k[1]^2*exp((1/16)*(a^4*t*k[1]^3-6*a^2*b^2*t*k[1]^3+b^4*t*k[1]^3-16*lambda*t*k[1]*l[1]^2-32*lambda*t*k[1]*l[1]*r[1]-16*lambda*t*k[1]*r[1]^2+16*a*y*k[1]*l[1]+16*a*z*k[1]*r[1]-16*alpha*t*k[1]*l[1]-16*alpha*t*k[1]*r[1]+16*a*x*k[1]-16*alpha*t*k[1]+16*a*eta[1])/a)+k[2]^2*exp((1/16)*(a^4*t*k[2]^3-6*a^2*b^2*t*k[2]^3+b^4*t*k[2]^3-16*lambda*t*k[2]*l[2]^2-32*lambda*t*k[2]*l[2]*r[2]-16*lambda*t*k[2]*r[2]^2+16*a*y*k[2]*l[2]+16*a*z*k[2]*r[2]-16*alpha*t*k[2]*l[2]-16*alpha*t*k[2]*r[2]+16*a*x*k[2]-16*alpha*t*k[2]+16*a*eta[2])/a))/(1+exp((1/16)*(a^4*t*k[1]^3-6*a^2*b^2*t*k[1]^3+b^4*t*k[1]^3-16*lambda*t*k[1]*l[1]^2-32*lambda*t*k[1]*l[1]*r[1]-16*lambda*t*k[1]*r[1]^2+16*a*y*k[1]*l[1]+16*a*z*k[1]*r[1]-16*alpha*t*k[1]*l[1]-16*alpha*t*k[1]*r[1]+16*a*x*k[1]-16*alpha*t*k[1]+16*a*eta[1])/a)+exp((1/16)*(a^4*t*k[2]^3-6*a^2*b^2*t*k[2]^3+b^4*t*k[2]^3-16*lambda*t*k[2]*l[2]^2-32*lambda*t*k[2]*l[2]*r[2]-16*lambda*t*k[2]*r[2]^2+16*a*y*k[2]*l[2]+16*a*z*k[2]*r[2]-16*alpha*t*k[2]*l[2]-16*alpha*t*k[2]*r[2]+16*a*x*k[2]-16*alpha*t*k[2]+16*a*eta[2])/a))-(k[1]*exp((1/16)*(a^4*t*k[1]^3-6*a^2*b^2*t*k[1]^3+b^4*t*k[1]^3-16*lambda*t*k[1]*l[1]^2-32*lambda*t*k[1]*l[1]*r[1]-16*lambda*t*k[1]*r[1]^2+16*a*y*k[1]*l[1]+16*a*z*k[1]*r[1]-16*alpha*t*k[1]*l[1]-16*alpha*t*k[1]*r[1]+16*a*x*k[1]-16*alpha*t*k[1]+16*a*eta[1])/a)+k[2]*exp((1/16)*(a^4*t*k[2]^3-6*a^2*b^2*t*k[2]^3+b^4*t*k[2]^3-16*lambda*t*k[2]*l[2]^2-32*lambda*t*k[2]*l[2]*r[2]-16*lambda*t*k[2]*r[2]^2+16*a*y*k[2]*l[2]+16*a*z*k[2]*r[2]-16*alpha*t*k[2]*l[2]-16*alpha*t*k[2]*r[2]+16*a*x*k[2]-16*alpha*t*k[2]+16*a*eta[2])/a))^2/(1+exp((1/16)*(a^4*t*k[1]^3-6*a^2*b^2*t*k[1]^3+b^4*t*k[1]^3-16*lambda*t*k[1]*l[1]^2-32*lambda*t*k[1]*l[1]*r[1]-16*lambda*t*k[1]*r[1]^2+16*a*y*k[1]*l[1]+16*a*z*k[1]*r[1]-16*alpha*t*k[1]*l[1]-16*alpha*t*k[1]*r[1]+16*a*x*k[1]-16*alpha*t*k[1]+16*a*eta[1])/a)+exp((1/16)*(a^4*t*k[2]^3-6*a^2*b^2*t*k[2]^3+b^4*t*k[2]^3-16*lambda*t*k[2]*l[2]^2-32*lambda*t*k[2]*l[2]*r[2]-16*lambda*t*k[2]*r[2]^2+16*a*y*k[2]*l[2]+16*a*z*k[2]*r[2]-16*alpha*t*k[2]*l[2]-16*alpha*t*k[2]*r[2]+16*a*x*k[2]-16*alpha*t*k[2]+16*a*eta[2])/a))^2)/(2*a^2-2*b^2)

 (9)
> 

pdetest(eq, pde)

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how I can calculate the integral analytically?...

Asked by: NIMA112 50
integration syntax
April 18 2025
0  3

I have a problem calculating integral analytically.

Can anyone help me in this regard?

Thanks

problem_2_integral_&_moshtagh.mw

How to convert statements with comments in 2D-Math...

Asked by: C_R 3437
1dmath
April 17 2025
1  0

Occasionally I want to convert 2D-Math input to 1D-Math input. This is either not fully working with comments or changes the format. Example:

Try converting the input below to Maple 1D-Math (select -> right click -> 2D-Math -> convert to -> 1D-Math)

> 

statement

statement

 (1)

The*comment*dissapears:

> 

statement;

 

statement

 (2)

The Maple Input at the top can be converted by selecting the style C Maple Input from the edit tab but the font changes not to the default font for 1D Math-Input;

> 

statement

statement

 (3)

The above is in italic and not in bold. However the default for 1D-Math Input is the following

> 

statement

statement

 (4)

 

NULL

Also pasting code with comments in MaplePrimes (function insert code snippet) removes comments.

Any other ways? Ideally, I would also like to convert a whole document in one go, That is probably asked too much.

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