PROBLEM 42E

In Problems 41 through 43, find general solutions to the nonhomogeneous Cauchy–Euler equations using variation of parameters.

Step 1</p>

In this problem we have to find general solution to the differential equation.

.

Step 2</p>

We have, .

Let, .

Then, .

And, .

Substituting in homogeneous differential equation ,

We get,

Or, .

Or,

Or, .

So, .

Say, , and, .