2.1698   ODE No. 1698

\[ -a x-b+y(x) y''(x)+y'(x)^2=0 \]

✓ Mathematica : cpu = 0.0344667 (sec), leaf count = 72

DSolve[-b - a*x + Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0,y[x],x]
 

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

✗ Maple : cpu = 0. (sec), leaf count = 0

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

, could not solve

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