2.417   ODE No. 417

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

\[ a+x y'(x)^2-y(x) y'(x)=0 \] Mathematica : cpu = 0.356075 (sec), leaf count = 48

\[\left \{\left \{y(x)\to \frac {16 a^2-8 a e^{\frac {c_1}{2}}+4 a x+e^{c_1}}{2 \left (e^{\frac {c_1}{2}}-4 a\right )}\right \}\right \}\] Maple : cpu = 0.023 (sec), leaf count = 35

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