find a general (particular) solution. Show the key step

find a general (particular) solution.
Show the key steps.

(a) y\’\’ ? 2y\’ + 2y = x + 1, y(0) = 3, y\'(0) = 0

(b) y^(3) + y\’\’ = x + e^ ?x, y(0) = y\’\'(0) = 1, y\'(0) = 0

Solution

a)