Find the solution of the given initial value problemSolution

Find the solution of the given initial value problem:

Solution

y^(4) + 2y\'\' + y = 7t + 2

solve the equation using method of undetermined coefficients

Let y(t) = At^2 + Bt + C

y\' = 2At + B

y\'\' = 2A

(At^2 + Bt + C)^4 + 4A + 2At^2 + 2Bt + 2C = 7t + 2

now solving the equation will yield the answer