2.435   ODE No. 435

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

\[ x^2 y'(x)^2-2 x y(x) y'(x)+y(x) (y(x)+1)-x=0 \] Mathematica : cpu = 0.0363125 (sec), leaf count = 55

\[\left \{\left \{y(x)\to \frac {c_1^2 x}{4}-i c_1 \sqrt {x}+x-1\right \},\left \{y(x)\to \frac {c_1^2 x}{4}+i c_1 \sqrt {x}+x-1\right \}\right \}\]

Maple : cpu = 0.233 (sec), leaf count = 22

\[ \left \{ y \left ( x \right ) =x,y \left ( x \right ) ={\it \_C1}\,\sqrt {x}-{\frac {x{{\it \_C1}}^{2}}{4}}+x-1 \right \} \]