2.471   ODE No. 471

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

\[ y(x) y'(x)^2-(y(x)-x) y'(x)-x=0 \] Mathematica : cpu = 0.0079863 (sec), leaf count = 47

\[\left \{\{y(x)\to x+c_1\},\left \{y(x)\to -\sqrt {-x^2+2 c_1}\right \},\left \{y(x)\to \sqrt {-x^2+2 c_1}\right \}\right \}\] Maple : cpu = 0.036 (sec), leaf count = 33

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