8.1.2.59 Second Order Differential Equations

Condition: Find a private solution to the differential equation in two ways. \ [\ begin {array} {l} y^{\ prime \ prime} (t) -2 y^{\ prime} (t) -35 y (t) = 3 t-1 \\ y (0) =-3, \ quad y^{\ prime} (0) =-2 \ end {array} \]