ODE No. 426

\[ (3 x+1) y'(x)^2-3 (y(x)+2) y'(x)+9=0 \]

✓ Mathematica : cpu = 0.0057938 (sec), leaf count = 28

DSolve[9 - 3*(2 + y[x])*Derivative[1][y][x] + (1 + 3*x)*Derivative[1][y][x]^2 == 0,y[x],x]

\[\left \{\left \{y(x)\to c_1 x+\frac {9+c_1{}^2-6 c_1}{3 c_1}\right \}\right \}\]

✓ Maple : cpu = 0.04 (sec), leaf count = 51

dsolve((3*x+1)*diff(y(x),x)^2-3*(y(x)+2)*diff(y(x),x)+9 = 0,y(x))

\[y \left (x \right ) = -2-2 \sqrt {3 x +1}\]