Question

Find a particular solution to the differential equation ?″−2?′−8?=64?3. y ″ − 2 y ′ − 8 y = 64 t 3 . ??= y p =

Answer 1

....................(1)

here we have  

so assume that particular solution is in the form of

..................(2)

.

put all values in equation 1

compare coefficient both sides

by solving this we get

...................put it back in equation 2

.

................particular solution