Answer to Question #65075 in Differential Equations for devangi

Question

Solve the following differential equations
(i) [D^3 − DD′^2 − D^2 + DD′] z = 0
(ii) [D^4 − D′^4 − 2D^2 D′^2 ] z = 0 .
(iii) [D^2 − 2DD′ + D′^2 ] z =12xy