Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

I believe this is a result of my ignorance rather then the flaws of the system. Can anyone teach me how to do this question?

 

Given 

>sum(1/n, n = 1 .. N)

I want to find the value of N such that sum(1/n, n = 1 .. N) is greater then 20.12.

>solve(sum(1/n, n = 1 .. N) > 20.12, N)

Warning, solutions may have been lost

Help please! Thanks.

Hi, experts,

 

I have an equations:

 

How to solve a, and b? It's easy to know that a = 2, b =5 though.

 

Many thanks! 

In the name of God

Any one knows how I can summerize this:

v1:=Vector(3):v2:=Vector(3):v3:=Vector(3):v4:=vector(3):v5:=Vector(3):

these 5 are independent.

Maybe some help page of maple helps me.

 

Hossayni

How can i solve for G(p,q,r,t) in the following pde

diff(G(p, q, r, t), t) = {lambda*(p-1)+gamma*(r-1)}*G(p, q, r, t)+delta*(1-p)*(diff(G(p, q, r, t), p))+kappa*(N*r-q)*(diff(G(p, q, r, t), q))+mu*(1-r)*(diff(G(p, q, r, t), r))+beta*(q*e^(-`ρτ`)-p*r)*(diff(G(p, q, r, t), r, p))

Dear All

I trying to solve the following in MAPLE, the code works fine in MATLAB but I am not sure why it doesn't give me values in MAPLE

n:=3: alpha_p:=1: p:=2: mu0:=4*Pi*1e-7: Br:=1.12:

A1:=unapply(sin((n*p+1)*alpha_p*Pi/(2*p))/((n*p+1)*alpha_p*Pi/(2*p)),n):

A2:=unapply(sin((n*p-1)*alpha_p*Pi/(2*p))/((n*p-1)*alpha_p*Pi/(2*p)),n):

M1:=unapply((Br/mu0)*alpha_p*(A1(n)+A2(n)),n):

M2:=unapply((Br/mu0)*alpha_p*(A1(n)-A2(n)),n):

How can i solve for X(t) in the following equation

diff(mean(X(t)), t) = lambda-delta*mean(X(t))-beta*mean(X(t)*V(t))

and how can i plot X(t) against t.

Here is what I tried.

I need to get the sum of all the real roots of 3*sin(x^2) = x

So I tried this. 

 

>solve(3*sin(x^2)-x = 0, x, AllSolutions)

Which gaved me this 3*sin(RootOf(_Z-9*sin(_Z)^2))

Then >sum(3*sin(RootOf(_Z-9*sin(_Z)^2)), _Z = -infinity .. infinity)

Which gives me this answer which I cannot make sense of.  signum(sin(RootOf(_Z-9*sin(_Z)^2)))*infinity

 

I have a question regarding on how to graph and prove that csc ^2(theta)-cot ^2(theta)=1 our professor provided us with a very poor example, i have to graph the left side of the equation first with a 0 to 2*Pi x-axis and then graph the right side on the same plot. 

Could anyone help with solving this integral?

> evalf((∫)[-infinity]^(infinity)((∫)[-infinity]^(v)( uv)/(sqrt(2 Pi))(1/2+1/2 erf((1 )/2 sqrt(2) u))(1/2-1/2 erf((1 )/2 sqrt(2) v))(e)^(-((u^(2+v^(2))))/(2)) ⅆu )dv);

thanks,

I'm new to using Maple. I'm trying to evaluate an equation where all unknowns are given. So to say use Maple

as a kind of desktop calculator with the possibility to change certain input variables and see what the outcome is.

 

I'm wondering why the trigonometric functions are not evaluated.

 

> restart; with(plots); with(LinearAlgebra); with(linalg);
> m1 := 2280; m2 := 2243; m3 := 2220; k1 := 300; k2 := 200; k3 := 100; F0 := 4.1; omega1 := sqrt((k1+k2)/m1);
> Sys := m1*(diff(u1(t), t, t))+(k1+k2)*u1(t)-k2*u2(t) = F0*cos(omega*t);
print(??); # input placeholder
> IC := u1(0) = 0, (D[1](u1))(0) = 0;
> csol := dsolve({IC, Sys}, {u1(t)});
%;
> p1 := subs(csol, u1(t));
>
> plot(p1, t = 0 .. 10*Pi, 'color' = "red", 'thickness' = 2, labels = ...

I have 5 term which each term includes three function of time (autonomous system ), i want to obtain time derivative of each term as other terms for example if i define each term as a dimensionless variable , e.g.  x , y , z , v , w , i want to know dx/dt = as  x , y , z , v , w.

 

 

i differentiate each term but i dont know how to obtain each differentiated term as other terms

Hello,

I need to plot M vs phi from the following ode. For this I am using implicitplot but unfortunately

I am getting empty plot. Please guide me through this issue.

Thanks 

eq1 := 1/(1-phi)^2.5/(1+4117/783*phi)*diff(f(eta),`$`(eta,3))+1/2*f(eta)*diff(f(eta),`$`(eta,2))

+M*(1-diff(f(eta),eta)) = 0;

bc:=f(0)=0,D(f)(0)=beta/(1-phi)^(2.5)*(D@D)(f)(0),D(f)(N)=1;

respar:=dsolve({eq1,f(0)=0,D(f)(0)=beta/(1-phi)^(2.5)*(D@D)(f)(0)},numeric,

Branched from huffman coding (excellent example).  The huffman tree was not encoded in the message. The tree was known from the original message but suppose we didn't have the original message.  We need the tree in the compressed message.

How do you include the huffman tree in the message?

Hi. I'm very new to maple, and got stuck on a task on my assignment. I'm supposed to find the area of the segment (gray area) with the diameter D as a function of h. Any help and pointers is appreciated, thanks. :)

 

Circle

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