2.57   ODE No. 57

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

\[ y'(x)-\sqrt {\left | y(x)\right | }=0 \] Mathematica : cpu = 0.0525326 (sec), leaf count = 26

\[\left \{\left \{y(x)\to \text {InverseFunction}\left [\int _1^{\text {$\#$1}}\frac {1}{\sqrt {\left | K[1]\right | }}dK[1]\& \right ][c_1+x]\right \}\right \}\] Maple : cpu = 0.062 (sec), leaf count = 31

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