1. a) Show that is a solution of Euler's equationL

if

b) Suppose that . Using the method of reduction of order, show that is a second solution of Euler's equation.

2) Find the general solution of the equation.

3) Use the Method of Variation Parameters to find the general solution of:

4) Use the Method of Variation Parameters to solve the initial-value problem

5) Find the general solution to

Hint: Use the idea of trying to find a particular solution.