y(x) \left(\frac{\left(m^2-v^2\right) g'(x)^2}{g(x)}+g'(x)^2\right)-y'(x) \left(\frac{(2 m-1) g'(x)}{g(x)}+\frac{g''(x)}{g'(x)}\right)+y''(x)=0