Introduction Starting with a second order linear ode in the following normal form\begin {equation} y^{\prime \prime }+p\left ( x\right ) y^{\prime }+q\left ( x\right ) y=r\left ( x\right ) \tag {A} \end {equation} The goal is to find a transformation that converts this ode to one with constant coefficients which is then easily solved. There are two transformations to try. One uses transformation on the independent variable \(x\) and the second is on the dependent variable \(y\). The transformation on the independent variable uses \(\tau =g\left ( x\right ) \) and the one on the dependent variable uses \(y=v\left ( x\right ) z\left ( x\right ) \) and \(y=v\left ( x\right ) x^{n}\) as special case.