8.1.2.110 Second Order Differential Equations

Condition: Find the solution to the problem of Koshi: \ [\ Begin {Array} {l} y^{\ prime \ prime} -2 y^{\ prime} +5 y = e^} \ cos 2 x \\ y (0) = 0, \ quadad y^{\ prime} (0) = 2 \ end {array} \]