2.1817   ODE No. 1817

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

\[ \left (x y'(x)-y(x)\right ) y''(x)+4 y'(x)^2=0 \] Mathematica : cpu = 9.8947 (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 = 1.223 (sec), leaf count = 40

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