ODE No. 664

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

\[ y'(x)=x^2 \sqrt {x^2+4 y(x)-4 x}-\frac {x}{2}+1 \] Mathematica : cpu = 0.18603 (sec), leaf count = 36

\[\left \{\left \{y(x)\to \frac {1}{36} \left (-24 c_1 x^3+36 c_1^2+4 x^6-9 x^2+36 x\right )\right \}\right \}\] Maple : cpu = 0.192 (sec), leaf count = 25

\[ \left \{ {\it \_C1}+{\frac {2\,{x}^{3}}{3}}-\sqrt {{x}^{2}-4\,x+4\,y \left ( x \right ) }=0 \right \} \]