2.379   ODE No. 379

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

\[ \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2-(\text {Global$\grave { }$x}+1) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] Mathematica : cpu = 0.00442919 (sec), leaf count = 18

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

Maple : cpu = 0.641 (sec), leaf count = 27

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