3.334   ODE No. 334

\[ \boxed { \left ( \sqrt {y \left ( x \right ) +x}+1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +1=0} \]

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

Mathematica: cpu = 0.035505 (sec), leaf count = 39 \[ \left \{\left \{y(x)\to -2 \sqrt {c_1+x+1}+c_1+2\right \},\left \{y(x)\to 2 \sqrt {c_1+x+1}+c_1+2\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 19 \[ \left \{ -y \left ( x \right ) -2\,\sqrt {y \left ( x \right ) +x}-{\it \_C1}=0 \right \} \]