Hello,

I have a two variable function d(a,b) which i don't want to substitute for the result. How can I make this product distributive,e.g. d(a+b,c)=d(a,c)+d(b,c) with independece of the variables I introduce in the function?

Thank you for the help!

EF.3.mwHi, I want to ask that how to find the exact solution of equation without applying any technique

Hi all,

I had to do a clean install on my computer today. When I went to reinstall Maple, I got a message telling me that my download link wasn't valid. So I tried to get a new download link, but that didn't work either. Does anyone know if I will still be able to download the software without purchasing the latest version? I'm pretty sure my license has not expired.

I'm going to call support tomorrow morning, but I figured I'd ask around here in the meantime. Thanks!

Hello.

When I input an expression such as 3*(2*x-1)(x+1) > 0 into a Maple worksheet, Maple outputs this:

0 < 6*x(x+1)-3

(sorry, the formatter doesn't work for some reason).

I was wondering by which rules Maple determines to output that instead of, for example,

0 < 3(2*x^2+x-1)

or

0 < 6*x^2+3x-3

Also, Maple can't seem to be able to solve the inequality. It gives the following error to the command:

solve( { 3*(2*x-1)(1+x) > 0 } );

Error, (in solve) cannot solve for an unknown function with other operations in its arguments

So, I was wondering, is there a way to force Maple to output either in the most factorized form (which should be what I gave it as input) or in the least factorized form (that is, multiply it all)?

And, of course, why can't I solve the inequality with Maple?

Im working on a assignment on maple. I have an equation of motion that looks like this:  v(t):= -g*t-vs*ln(r*t-m)+vs*ln(-m)
Im supposed to use this equation and solve it for t an later integrate it. Since the constant inside the ln is negative I end up with a annoying imaginary part. Is there any way to covert this equation so that the ln disappear, so that I can get a result whitout a imaginary part?

sys := [(diff(c(t), t))*(diff(a(t), t))*(diff(b(t), t))+(diff(c(t), t))*t^2, (diff(c(t), t))*(diff(a(t), t))*t+(diff(c(t), t))*t*(diff(b(t), t)), (diff(c(t), t))*(diff(a(t), t))*(diff(b(t), t))+(diff(c(t), t))*(diff(a(t), t))*t+(diff(c(t), t))*t^2]
DEplot(sys, [a(t), b(t), c(t)], t = 0 .. 2, a = -15 .. 15, b = -15 .. 15, c = -15 .. 15, color = magnitude, title = `Stable Limit Cycles`, arrows = curve, dirfield = 800, axes = none);
odeplot(sys, [t, a(t), b(t), c(t)], -4 .. 4, color = orange);

mysolve.mw

Download mysolve.mw

with(RegularChains);
with(ConstructibleSetTools);
source1 := PolynomialRing([a, b, c, d]);
target1 := PolynomialRing([e1, e2, e3, e4]);
source1list := [eq2a, eq3a, eq4a, 0];
target1list := [eq2b, eq3b, eq4b, eq5b];
cs := PolynomialMapPreimage(target1list, source1list, source1, target1)

return
cs := constructible_set

then i type
Elements(constructible_set)

it return 

Elements(constructible_set)

 since source has less number of variables, in order to use this function

i add a dummy variable d to this and use 0 for the fourth equation

dsol := dsolve([eq2=diff(s(t),t), eq3=diff(s(t),t), eq4=diff(s(t),t)], [a(t),b(t),c(t)]);
eval(subs(t(t)=t,subs(_C1(t) = _C1, subs(_C2(t) = _C2, subs(_C3(t) = _C3, sol1)))));

after subs t(t) = t , it still  have t(t)

hello all

i have two equations

(1-pi*x/2)*(f/2/E)*yc-1/3=int(t^4/sqrt((t^2-(f/2/E)*yc)^2+ya^2),t=0..1);

x^2*yc*(1-pi*x/2)-1/3=int(t^4/sqrt((t^2-x^2*yc)^2+ya^2),t=0..1);

i want to plot ya and yc vs. x that x change beetwin -3..3 in some steps like 100 steps. and another members like E can be any number.

i think maby i shoud use loop! but i dont know how!

plz help me

Hi,

I want to plot two density functions of norm(1,1) and norm(4,1) in one figure.

But it appears the function DensityPlot can only plot one at a time.

The downloaded worksheet below displays 3 points on the unit sphere which define a solid angle with a triangular face. The sides of the solid angle's are red arcs on the surface of the sphere and red radii which outline the planar sides within the sphere.

Three questions:

1. Is there a way to make the surfaces of the solid triangle more apparent by filling them with color?

2. Is there a way to calculate the area of the face on the surface of the sphere?

3. Is there a way to calculate the volume of the solid triangle?

Download Mechanics;_irregular_solid_angle.mw

I am trying to solve system of partial differential equation, but i got some trouble. This is system of heat equations

Here are the equations:

restart;with(PDEtools):
U1 := diff_table(u1(x,t)):
pde[1] := (1/kappa1)*U1[t]=U1[x,x];

bc[1]:=u1(-L, t)=V;

U2 := diff_table(u2(x,t)):
pde[2] := (1/kappa2)*U2[t]=U2[x,x];

bc[2]:=u2(a, t)=0;

sys:=[pde[1],bc[1],pde[2],bc[2], u1(x=0,t)=u2(x=0,t), 

D[2](u1)(x,0)=D[2](u2)(x,0)

]

pdsolve(sys);

a and L is arbitrary constanta

anyone can help? The last boundary conditions I mean du1/dx=du2/dx at x=0

How can i solve this problem? 

So given a list [ [ [1,2], [2,1] ], [ [3,4], [4,3] ], [ [5] ] ],

I would like to produce a list 

[ [1,2,3,4,5], [1,2,4,3,5], [2,1,3,4,5], [2,1,4,3,5] ]

so it makes a combination of sublist of every lists in the given list

is there a way to do it ?

Thanks,

Hi all

Assume that we have a cost functional, namely J, which we want to be minimized but we have to set of constraint CC1 and CC2.

what should we do it?

The code which I have written is attached(Minimize J under CC1[i]=0 and CC2[i]=0)

 any suggestion or guide is praiseworthy.

Thanks in advance

ExNew.mws

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department