Link to actual problem [7237] \[ \boxed {\left (1+x \right ) \left (3 x -1\right ) y^{\prime \prime }+y^{\prime } \cos \left (x \right )-3 y x=0} \] With the expansion point for the power series method at \(x = 0\).
type detected by program
{"second order series method. Ordinary point", "second order series method. Taylor series method"}
type detected by Maple
[[_2nd_order, _with_linear_symmetries]]
Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\)