Solve 4y'' + 9y = 15 by undetermined coefficients

The homogeneous part of the ODE has characteristic equation



which has roots at . This means the characteristic solution takes the form



For the particular solution, we can attempt to find a solution of the form




and substituting into the nonhomogeneous ODE, we get



so that the particular solution is



and the general solution to the ODE is

Idon’t know what the answer is i wish i could