2.14.4.52 problem 352 out of 2993

Link to actual problem [1798] \[ \boxed {t^{3} y^{\prime \prime }+\sin \left (t^{3}\right ) y^{\prime }+y t=0} \] With the expansion point for the power series method at \(t = 0\).

type detected by program

{"second order series method. Regular singular point. Complex roots"}

type detected by Maple

[[_2nd_order, _with_linear_symmetries]]

Maple symgen result This shows Maple’s found \(\xi ,\eta \) and the corresponding canonical coordinates \(R,S\)