2.375   ODE No. 375

\[ a y'(x)+b x+y'(x)^2=0 \] Mathematica : cpu = 0.0305831 (sec), leaf count = 71


\[\left \{\left \{y(x)\to \frac {1}{2} \left (-\frac {\left (a^2-4 b x\right )^{3/2}}{6 b}-a x\right )+c_1\right \},\left \{y(x)\to \frac {1}{2} \left (\frac {\left (a^2-4 b x\right )^{3/2}}{6 b}-a x\right )+c_1\right \}\right \}\] Maple : cpu = 0.029 (sec), leaf count = 49


\[y \relax (x ) = -\frac {a x}{2}+\frac {\left (a^{2}-4 b x \right )^{\frac {3}{2}}}{12 b}+c_{1}\]