2.375   ODE No. 375

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

\[ a y'(x)+b x+y'(x)^2=0 \] Mathematica : cpu = 0.0336034 (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 = 0.032 (sec), leaf count = 49

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