2.378   ODE No. 378

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

\[ (\text {Global$\grave { }$a}+\text {Global$\grave { }$x}) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2-\text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] Mathematica : cpu = 0.0045623 (sec), leaf count = 18

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

Maple : cpu = 0.638 (sec), leaf count = 32

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