3.379   ODE No. 379

\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}- \left ( 1+x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.004000 (sec), leaf count = 18 \[ \left \{\left \{y(x)\to c_1 x-c_1^2+c_1\right \}\right \} \]

Maple: cpu = 0.422 (sec), leaf count = 27 \[ \left \{ y \left ( x \right ) ={\frac {{x}^{2}}{4}}+{\frac {x}{2}}+{ \frac {1}{4}},y \left ( x \right ) =-{{\it \_C1}}^{2}+{\it \_C1}\,x+{ \it \_C1} \right \} \]