ODE No. 653

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

\[ y'(x)=x \sqrt {x^2+4 y(x)-4 x}-\frac {x}{2}+1 \] Mathematica : cpu = 0.184434 (sec), leaf count = 34

\[\left \{\left \{y(x)\to \frac {1}{4} \left (-4 c_1 x^2+4 c_1^2+x^4-x^2+4 x\right )\right \}\right \}\] Maple : cpu = 0.194 (sec), leaf count = 24

\[ \left \{ {\it \_C1}+{x}^{2}+{\frac {1}{2}}-\sqrt {{x}^{2}-4\,x+4\,y \left ( x \right ) }=0 \right \} \]