3.649   ODE No. 649

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-x/4+1/4+x\sqrt {{x}^{2}-2\,x+1+8\,y \left ( x \right ) }=0} \]

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

Mathematica: cpu = 0.180523 (sec), leaf count = 37 \[ \left \{\left \{y(x)\to \frac {1}{8} \left (-16 c_1 x^2+16 c_1^2+4 x^4-x^2+2 x-1\right )\right \}\right \} \]

Maple: cpu = 0.187 (sec), leaf count = 27 \[ \left \{ {\it \_C1}+2\,{x}^{2}+{\frac {1}{4}}-\sqrt {{x}^{2}-2\,x+1+8 \,y \left ( x \right ) }=0 \right \} \]