ODE No. 1817

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

\[ 4 y'(x)^2+\left (x y'(x)-y(x)\right ) y''(x)=0 \] Mathematica : cpu = 29.486 (sec), leaf count = 0 , could not solve

DSolve[4*Derivative[1][y][x]^2 + (-y[x] + x*Derivative[1][y][x])*Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 0.299 (sec), leaf count = 40

\[ \left \{ y \left ( x \right ) ={{\rm e}^{\int ^{\ln \left ( x \right ) }\!{{\rm e}^{{\it RootOf} \left ( \ln \left ( {{\rm e}^{{\it \_Z}}}-1 \right ) {{\rm e}^{{\it \_Z}}}+{\it \_C1}\,{{\rm e}^{{\it \_Z}}}-{\it \_Z}\,{{\rm e}^{{\it \_Z}}}-{\it \_b}\,{{\rm e}^{{\it \_Z}}}+2 \right ) }}-1{d{\it \_b}}+{\it \_C2}}} \right \} \]