2.503   ODE No. 503

\[ \text {a0}+y'(x) (\text {a1} x+\text {b1} y(x)+\text {c1})+y'(x)^2 (\text {a2} x+\text {b2} y(x)+\text {c2})^2+\text {b0} y(x)+\text {c0}=0 \]

✗ Mathematica : cpu = 300.049 (sec), leaf count = 0

DSolve[a0 + c0 + b0*y[x] + (c1 + a1*x + b1*y[x])*Derivative[1][y][x] + (c2 + a2*x + b2*y[x])^2*Derivative[1][y][x]^2 == 0,y[x],x]
 

, timed out

$Aborted

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

dsolve((b2*y(x)+a2*x+c2)^2*diff(y(x),x)^2+(a1*x+b1*y(x)+c1)*diff(y(x),x)+b0*y(x)+a0+c0=0,y(x))
 

, could not solve

dsolve((b2*y(x)+a2*x+c2)^2*diff(y(x),x)^2+(a1*x+b1*y(x)+c1)*diff(y(x),x)+b0*y(x)+a0+c0=0,y(x))