2.14.29.22 problem 2822 out of 2993

Link to actual problem [13947] \[ \boxed {\sinh \left (x \right ) y^{\prime \prime }+x^{2} y^{\prime }-y \,{\mathrm e}^{x}=0} \] With the expansion point for the power series method at \(x = 2\).

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 \(R,S\)