2.399   ODE No. 399

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

\[ 2 \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2+(\text {Global$\grave { }$x}-1) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})-\text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] Mathematica : cpu = 0.00444039 (sec), leaf count = 20

\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to c_1 \text {Global$\grave { }$x}+2 c_1^2-c_1\right \}\right \}\]

Maple : cpu = 0.019 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) =-{\frac {{x}^{2}}{8}}+{\frac {x}{4}}-{\frac {1}{8}},y \left ( x \right ) =2\,{{\it \_C1}}^{2}+{\it \_C1}\,x-{\it \_C1} \right \} \]