Solving system of differential equations

Hi everyone,

I have a problem is to find N , M and L for a known x and y by using the following system of differential equations with knowing the boundary conditions as described bellow. In these expressions, are known functions of x and y.

Eq1:

Eq2:

Eq3:

Boundary condtions are

• {L=0 at y=a & b & c}, where a, b and c are known values.
• at x=b, where b is a known value.
• at x=b, where b is a known value.

I would appreciate it if you could suggest me how to find the solutions.

Thank you.

Answer 1

[Yash]

Hi Shahrzad Daghighi,

I understand that you want to solve a system of differential equations with boundary conditions. Please refer to documentation provided below to get started:

• Solving a system of differential equations: https://www.mathworks.com/help/symbolic/solve-a-system-of-differential-equations.html
• Solving boundary value problems: https://www.mathworks.com/help/matlab/math/boundary-value-problems.html

I hope this helps!