3.253   ODE No. 253

\[ \boxed { \left ( {x}^{2}y \left ( x \right ) -1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +8\,x \left ( y \left ( x \right ) \right ) ^{2}-8=0} \]

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

Mathematica: cpu = 19.448470 (sec), leaf count = 28 \[ \text {DSolve}\left [\left (x^2 y(x)-1\right ) y'(x)+8 x y(x)^2-8=0,y(x),x\right ] \]

Maple: cpu = 1.810 (sec), leaf count = 0 \[ \text {could not solve} \]