8.1.3.24 Higher order differential equations

Problem: Find the particular solution of the equation \( y^{(4)}-y=8 e^{x} \), satisfying the initial conditions \( y(0)=0, y^{\prime}(0)=2, y^{\prime \prime}(0)=4, y^{\prime \prime \prime}(0)=6 \). clip2net.com