2.57   ODE No. 57

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

\[ y'(x)-\sqrt {| y(x)| }=0 \] Mathematica : cpu = 0.0529504 (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 = 0.063 (sec), leaf count = 31

\[ \left \{ x-\begin {cases}-2\,\sqrt {-y \left ( x \right ) } & y \left ( x \right ) \leq 0\\2\,\sqrt {y \left ( x \right ) } & 0<y \left ( x \right ) \end {cases}+{\it \_C1}=0 \right \} \]