2.653   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 = 0.162937 (sec), leaf count = 31

\[\left \{\left \{y(x)\to -\frac {1}{4} \left (4 c_1+1\right ) x^2+c_1^2+\frac {x^4}{4}+x\right \}\right \}\]

Maple : cpu = 0.162 (sec), leaf count = 24

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