2.391   ODE No. 391

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

\[ \text {Global$\grave { }$y}'(\text {Global$\grave { }$x}) (\text {Global$\grave { }$a} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})+\text {Global$\grave { }$b} \text {Global$\grave { }$x})+\text {Global$\grave { }$a} \text {Global$\grave { }$b} \text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})+\text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2=0 \] Mathematica : cpu = 0.00599518 (sec), leaf count = 29

\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to c_1 e^{-\text {Global$\grave { }$a} \text {Global$\grave { }$x}}\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to c_1-\frac {\text {Global$\grave { }$b} \text {Global$\grave { }$x}^2}{2}\right \}\right \}\]

Maple : cpu = 0.008 (sec), leaf count = 22

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