8.1.2.7 Second order differential equations

Problem: Find the general solution of the second order inhomogeneous differential equation with variable coefficients: \[ \frac{1}{49}(7 x-8)^{2} y^{\prime \prime}-\frac{1}{7}(7 x-8) y^{\prime}-3 y=-5|7 x-8|^{-6} \text {. } \] clip2net.com