2.57   ODE No. 57

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

\[ y'(x)-\sqrt {| y(x)| }=0 \] Mathematica : cpu = 0.074623 (sec), leaf count = 26

\[\left \{\left \{y(x)\to \text {InverseFunction}\left [\int _1^{\text {$\#$1}}\frac {1}{\sqrt {| K[1]| }}dK[1]\& \right ][x+c_1]\right \}\right \}\] Maple : cpu = 0.12 (sec), leaf count = 31

\[\left \{c_{1}+x -\left (\left \{\begin {array}{cc}-2 \sqrt {-y \left (x \right )} & y \left (x \right )\le 0 \\ 2 \sqrt {y \left (x \right )} & 0<y \left (x \right ) \end {array}\right .\right ) = 0\right \}\]