Solving Differential equation with multi variables

Hi,

I have the following equation:

I want to solve it for P1, when all the other parameters are known:

P0[4x4] matrix

A[4x4] matrix

B[4x1] matrix

K0[1x4] matrix

K1[1x4] matrix

R = 1

Very appritiate any help

Thank you

[Torsten]

Why is your equation a differential equation ? For me, it looks like a matrix equation.

Answer 1

[Pratheek]

Hi Gilad Shaul!

I assumed that you mistyped Matrix equation as Differential equation.

I understand that you are trying to solve this matrix equation where only one variable is unkown. You can use the below code to solve the equation.

p0=rand(4);%initializing all variables 
a=rand(4);
b=rand(4,1);
k0=rand(1,4);
k1=rand(1,4);
r=1;
syms x1 x2 x3 x4 y1 y2 y3 y4 z1 z2 z3 z4 w1 w2 w3 w4; 
p1=[x1 x2 x3 x4;y1 y2 y3 y4; z1 z2 z3 z4; w1 w2 w3 w4];
solx = solve(transpose(a+b*k1)*p1*(a+b*k1)-p1+(transpose(k1-k0))*(r+transpose(b)*p0*b)*(k1-k0)==0); 
disp(solx);

Use Solve documentation for your further reference.