3.471   ODE No. 471

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

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

Mathematica: cpu = 0.007001 (sec), leaf count = 47 \[ \left \{\left \{y(x)\to c_1+x\right \},\left \{y(x)\to -\sqrt {2 c_1-x^2}\right \},\left \{y(x)\to \sqrt {2 c_1-x^2}\right \}\right \} \]

Maple: cpu = 0.015 (sec), leaf count = 33 \[ \left \{ y \left ( x \right ) =\sqrt {-{x}^{2}+{\it \_C1}},y \left ( x \right ) =-\sqrt {-{x}^{2}+{\it \_C1}},y \left ( x \right ) =x+{\it \_C1 } \right \} \]