8.1.3.2 Higher order differential equations

Problem: Find the general solution of the equation \( x^{3} y^{\prime \prime \prime}+ \) \( +5 x^{2} y^{\prime \prime}+2 x y^{\prime}-2 y=0 \), if its two particular solutions are known \( y_{1}=x \) and \( y_{2}=1 / x \). clip2net.com