Question

(1) The problens below conscern the Ealer eoquation (a) Solve the Euler equation ) for r > 0 and express your answer as a linear combination of fundamental solutions (b) Sketch the graph of a solution to the Euler equation () (c) Solve the Euler equation ) for a < 0. Express your answer as a linear combination of fundamental solutions (2) Find all the singular points of the differential equation ( 2)2(2 1) 5 10) y(2-3 2) y 0 and determine whether each one is regular or irregular

Answer 1