8.1.2.116 Second order differential equations

Condition: Find a solution to the differential equation \( \quad a_{2} y^{\prime \prime}+a_{1} y^{\prime}+a_{0} y=a x \), satisfying the initial conditions \( y(0)=b, y^{\prime}=b_{1} \) \[ a_{2}=1, a_{1}=2, a_{0}=0, a=8, b=1, b_{1}=0 \text {. } \]