Question Number 149274 by BHOOPENDRA last updated on 04/Aug/21

Answered by Olaf_Thorendsen last updated on 05/Aug/21

(d^2 y/dx^2 )−3(dy/dx)+2y = e^x (E) Let y = e^x u, y′ = e^x (u′+u), y′′ = e^x (u′′+2u′+u) (E) : u′′+2u′+u−3(u′+u)+2u = 1 (E) : u′′−u′ = 1 ⇒ u′ = −1, u = a−x y = e^x u = (a−x)e^x