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 = 0.0042745 (sec), leaf count = 16

\[\left \{\left \{y(x)\to \frac {a}{c_1}+c_1 x\right \}\right \}\] Maple : cpu = 0.04 (sec), leaf count = 35

\[\left \{y \left (x \right ) = \frac {x c_{1}^{2}+a}{c_{1}}, y \left (x \right ) = -2 \sqrt {a x}, y \left (x \right ) = 2 \sqrt {a x}\right \}\]