2.1698   ODE No. 1698

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

\[ -a x-b+y(x) y''(x)+y'(x)^2=0 \] Mathematica : cpu = 0.0435909 (sec), leaf count = 63

\[\left \{\left \{y(x)\to -\sqrt {\frac {a x^3}{3}+b x^2+c_2 x+2 c_1}\right \},\left \{y(x)\to \sqrt {\frac {a x^3}{3}+b x^2+c_2 x+2 c_1}\right \}\right \}\]

Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(diff(diff(y(x),x),x)*y(x)+y(x)^2-a*x-b=0,y(x))