2.14.29.28 problem 2828 out of 2993

Link to actual problem [13953] \[ \boxed {\sin \left (\pi \,x^{2}\right ) y^{\prime \prime }+y x^{2}=0} \] 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 \(R,S\)\begin{align*} \\ \\ \end{align*}