Could you help me to write maple code for solving following matrix differential equations?

where

In here, the matrices M,C,K,P are as follows ( M,C,K are nxn matrices and  V,P are nx1 matrices) 

In here, l,P,A,rho, alpha,v,N,E,I are constants.

Thank you very much.

I writed the matrices in maple. You can find it in the below.

 The Code.mw

I want to write a code for solving following PDE with Cauchy data.
Equation:  (y-u(x,y))*(diff(u(x,y), x))+(u(x,y)-x)*(diff(u(x, y), y)) =x-y
Cauchy Data: u(x,y)=0 on xy=1.

THE CODE:
restart;
PDE := (y-u(x,y))*(diff(u(x,y), x))+(u(x,y)-x)*(diff(u(x, y), y)) =x-y;ic:=u(x, 1/x)=0;
ans := pdsolve({PDE,ic});
pdetest(ans, PDE);

Maple doesn' t give a solution.Why?

"Error, (in PDEtools:-Library:-NormalizeBoundaryConditions) unexpected occurrence of the variables {x} in the 2nd operand of u(x, 1/x) in the given initial conditions"

I

Hello,

How can we write a code for solving following system of Pdes ?

restart;
PDE1:=m1*diff(w1(x,t),t$2)-S1*diff(w1(x,t),x$2)+k*(w1(x,t)-w2(x,t))=F1(t)*delta(x-x1);
PDE2:=m2*diff(w2(x,t),t$2)-S2*diff(w2(x,t),x$2)+k*(w2(x,t)-w1(x,t))=F2(t)*delta(x-x2);

In here,  K_i, m_i, x_i and k are constants where i=1,2.

Since F₁(t) and F₂(t) are unspecified (ungiven) functions, solutions u₁,u₂ which we seek, will be depended on  F₁(t) and F₂(t). 

Thanks for your valuable and praiseworthy suggestions and comments.

How to write a code find fundamental matrix of the following Matrix?

restart; with(LinearAlgebra): A:=Matrix([[0, 1, 0, 0], [-a, 0, b, 0], [0, 0, 0, 1], [c, 0, -d, 0]]);eigenvectors(A);

where a,b,c,d∈IR.

I want to find eigenvalues and eigenvectors and then want to calculate e^( λ _i)*r_i  where λ_i's are eigenvalues, r_i's are eigenvectors of A for i=1,2,3,4  respectively.

Then, I want to calculate Wronskian of the matrix which consists of vectors e^(λ_i)*r_i in the columns. Could you help me?

See: Fundamental Matrix

int(exp(I*x(2-y)),[x=-infinity..infinity, y=0..2]);

how to calculate this integral? where I is imaginary part?