\[ y'(x)-\sqrt {\left | y(x)\right | }=0 \] ✓ Mathematica : cpu = 167.529 (sec), leaf count = 263
\[\left \{\left \{y(x)\to \text {InverseFunction}\left [-\frac {2\ 2^{3/4} (1-\text {$\#$1}) \sqrt [4]{1+\frac {i (1-\Re (\text {$\#$1}))}{\left | \Im (\text {$\#$1})\right | }} (i \left | \Im (\text {$\#$1})\right | -\Re (\text {$\#$1})+1) \, _2F_1\left (\frac {1}{4},\frac {3}{4};\frac {7}{4};\frac {i \left (\text {$\#$1}^*+\text {$\#$1}-2\right )}{4 \left | \Im (\text {$\#$1})\right | }+\frac {1}{2}\right )}{3 \left (\Im (\text {$\#$1})^2+(1-\Re (\text {$\#$1}))^2\right )}-\frac {2\ 2^{3/4} (1-\text {$\#$1}) \left (-i \left | \Im (\text {$\#$1})\right | +\Im (\text {$\#$1})^2+\Re (\text {$\#$1})^2-\Re (\text {$\#$1})\right ) \sqrt [4]{\frac {1+\frac {i \left ((1-\Re (\text {$\#$1})) \Re (\text {$\#$1})-\Im (\text {$\#$1})^2\right )}{\left | \Im (\text {$\#$1})\right | }}{\Im (\text {$\#$1})^2+\Re (\text {$\#$1})^2}} \, _2F_1\left (\frac {1}{4},\frac {3}{4};\frac {7}{4};\frac {i \left (2 \left | \text {$\#$1}\right | ^2-\text {$\#$1}^*-\text {$\#$1}\right )}{4 \left | \Im (\text {$\#$1})\right | }+\frac {1}{2}\right )}{3 \left (\Im (\text {$\#$1})^2+(1-\Re (\text {$\#$1}))^2\right )}\& \right ]\left [c_1+x\right ]\right \}\right \}\] ✓ Maple : cpu = 0.149 (sec), leaf count = 31
\[ \left \{ x-\cases {-2\,\sqrt {-y \left ( x \right ) }&$y \left ( x \right ) \leq 0$\cr 2\,\sqrt {y \left ( x \right ) }&$0<y \left ( x \right ) $\cr }+{\it \_C1}=0 \right \} \]