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 = 0.038746 (sec), leaf count = 72

\[\left \{\left \{y(x)\to -\frac {\sqrt {a x^3+3 b x^2+3 c_2 x+6 c_1}}{\sqrt {3}}\right \},\left \{y(x)\to \frac {\sqrt {a x^3+3 b x^2+3 c_2 x+6 c_1}}{\sqrt {3}}\right \}\right \}\]

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))