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Hi,

I want to compute a system of linear equations when they are provided through a matrix product, and the solutions should be some numbers (rational) between 0 and 1, and one of them could be any rational number. Also, I obtain the matrix of coefficients by recursion; I mean, I have a ''for loop" in which I find recursively the matrix of coefficients, and then in each step of loop I solve the system of equations with this coefficients.

I use Maple 13. The...

Hey there i try to solve this system of equations. It is required that the left side of the equation only take positive values. Has someone an idea to fix this solution or has maybe another idea to help me.

> m[1] := 30; c[1] := 48000; c[0] := 20000; d[1] := 21; d[0] := 70;

> DGL1 := m[1]*(D(D(x)))(t)+d[0]*(D(x))(t)+d[1]*(D(x))(t)+c[0]*x(t)+c[1]*x(t)+50000 = -(1/1000)*c[1]*S-(1/1000)*d[1]*DS*((1/60)*(2*Pi*250))-(1/1000)*m[1]*DDS*((1/60)*(2*Pi*250))^2;

I'm am new to maple and am not very familiar with it.

I have a state space represnetaiton (Xdot = AX+Bu  y+CX+Du)of a 3rd order non linear system.

X=[X1; X2; X3]

Xdot=[X1dot; X2dot; X3dot]

A=[0 -1 -1; 1 0.2 0; X3 0 -2.4]

B=[0; 0; 2]

C=[1 0 0]

D=0

With initial conditons:

X1(0)=X2(0)=x3(0)=An arbitrary concept of my choice.

I need to plot x1(t) Vs time.

I also need to plot the state trajectories...

i have a systems of differential equation:

J[n]=2*A[n]

S[n+1]=J[n]

A[n+1]=S[n] + 0.5*A[n]

with initial condition A[0]=10, J[0]=30, S[0]=5

i have a had time writing a procedure for this systems. help please

do i need a for command for this procedure

I am aware of how to plot the feasible region defined by a system of linear inequalities (inequal in the plots package). Also, I can use the implicitplot command to plot the feasible region defined by a single nonlinear inequality. My question is, how do I plot the feasible region defined by a system of nonlinear inequalities. For example, how would a graph the region satisfying x>=0, y<=exp(-x), and y>=x^2?

Hello,

I am trying to solve the following system of quasilinear PDEs for dependent variables pA(z,t), pB(z,t), pC(z,t) using Maple 14:

> system:= [

.15e-3*diff(pA(z,t),t)+.83e-1*diff(pA(z,t),z)+.47e-3/(1+.11e-6*pA(z,t)+.14e-4*pB(z,t)+.73e-4*pC(z,t))^2*((1+.14e-4*pB(z,t)+.73e-4*pC(z,t))*diff(pA(z,t),t)-.14e-4*pA(z,t)*diff(pB(z,t),t)-.73e-4*pA(z,t)*diff(pC(z,t),t)) = 0,

.15e-3*diff(pB(z,t),t)+.83e-1*diff(pB(z,t),z)+.90e-1/(1+.11e-6*pA(z,t)+.14e-4*pB(z,t...

Hi all!

I was able to run an external progam using the "system" command.
i.e. >system("name.exe");

The external program (name.exe which is an executable written in Fortran) prompts for the name of my input file and the name of my output file one by one. If I supply these two information, everything works fine.
My problem is this, I want to automate the process such that Maple helps me to write the input and output filename when the external program...

Hi,

I am trying to implement some numerical algorithm for an optimal control problem (still).

It involves double cycle. In the inner one two DE systems are solved sequentially and the result is used to update values of some objective function.

This part uses remeber option thanks to pagan  and is ok.

However, in the outer cycle I use the values of this objective function to obtain solution for yet another DE and update ICs for the inner cycle.

i have a D.E. systems:

J_n=2A_n

S_n+1=J_n

A_n+1=S_n+0.5A_n

and initial conditions A₀=10, J₀=30, S₀=5

can i use rsolve to solve this or is there another ways to solve this systems

Hi,

I have a third order system with nonconstant coefficients I would like to solve in Maple.  I have found a solution  but, I need a general solution.  I have attached the worksheet.  In the worksheet I have commented the system and the known solution.  AllCalculationsPertu.mw

Is there some way to construct the general solution from known solutions like a variation of parameters?

i'm trying to solve a sysem of pde, but i get this error 

Error, (in PDEtools:-Library:-NormalizeBoundaryConditions) unable to isolate the functions {x(0, z, r), x(t, z, 0.5e-2), xeq(t, z, 0.5e-2), y(0, z, r), y(t, 0, r)} in the given boundary conditions {x(0, z, r) = 0, x(t, z, 0.5e-2) = xeq(t, z, 0.5e-2), y(0, z, r) = 0, y(t, 0, r) = 0}
> 

> restart; with(PDEtools);
[CanonicalCoordinates, ChangeSymmetry, CharacteristicQ, 

  CharacteristicQInvariants,...

Well,

Basically I know that.

I just hoped there is some walkaround this problem.

It seems now there is not.

The problem I am trying to solve is how I can construct an iterative procedure where function is computed from numerical solution of the ODE system (done) and then this very function is used to recalculate the solution of this ODE system.

This is my attempt to impement some sort of  gradient projection method to the optimal...

Suppose I have a system of three coupled equations as:

eqn[1] := a*x+b*x^2+c*x^3

eqn[2] := a1*x+b*x^3

eqn[3] := a2*x^2+b2*x^3 = a*x^2

If I simply write

eqs :=( eqn[1], eqn[2], eqn[3])

the equations get coupled.

1. Can I do it using loop structure?

2. Secondly, after coupling suppose I want to collect coefficoent of x, x^2 and x^3 from three equations ang get the equation in form

eq[0]:=a=0,a1=0

Hello,

I'm trying to solve the following system in Maple but it doesn't show me any solution:

where x(0)=0 and y2(0)=0 , k>0,...

Can Maple 13 solve nonlinear algebraic equations system numerically without using fsolve? for example Gauss siedel iterative method .