8.59   ODE No. 1649

\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -{\frac {y \left ( x \right ) }{x}} \right ) ^{a}h \left ( x,y \left ( x \right ) \right ) =0} \]

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

Mathematica: cpu = 2.647336 (sec), leaf count = 30 \[ \text {DSolve}\left [h(x,y(x)) \left (y'(x)-\frac {y(x)}{x}\right )^a+y''(x)=0,y(x),x\right ] \]

Maple: cpu = 0.0 (sec), leaf count = 0 \[ \text {could not solve} \]