2.377   ODE No. 377

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

\[ \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2+(\text {Global$\grave { }$x}-2) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})-\text {Global$\grave { }$y}(\text {Global$\grave { }$x})+1=0 \] Mathematica : cpu = 0.00481637 (sec), leaf count = 19

\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to c_1 \text {Global$\grave { }$x}+c_1^2-2 c_1+1\right \}\right \}\]

Maple : cpu = 0.647 (sec), leaf count = 25

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