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**1. Homework Statement**

I have a system of two ordinary differential equations as shown below. I have to prove that the Lame's exact solutions for a thick walled cylinder loaded by internal pressure satisfies the equations.

The next step is to integrate the equations to obtain an equation for U and radial stress

**2. Homework Equations**

How should i go about the solution of this problem

**3. The Attempt at a Solution**

I have tried to find solutions for this but get stuck after the substitution of all given info

I have tried to find solutions for this but get stuck after the substitution of all given info