Solving Differential equation with multi variables

Question

Gilad Shaul 2023-1-10

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回答： Pratheek 2023-3-1

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

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Torsten 2023-1-10

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

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Answer 1

Pratheek 2023-3-1

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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);