2.391   ODE No. 391

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

\[ y'(x) (a y(x)+b x)+a b x y(x)+y'(x)^2=0 \] Mathematica : cpu = 0.0070432 (sec), leaf count = 29

\[\left \{\left \{y(x)\to c_1 e^{-a x}\right \},\left \{y(x)\to -\frac {b x^2}{2}+c_1\right \}\right \}\] Maple : cpu = 0.075 (sec), leaf count = 22

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