ODE No. 1714

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

✓ Mathematica : cpu = 0.170297 (sec), leaf count = 28

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

\[\left \{\left \{y(x)\to \frac {c_2 e^{x+c_1}}{\sqrt {-1+2 e^{x+c_1}}}\right \}\right \}\]

✓ Maple : cpu = 0.075 (sec), leaf count = 36

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

\[y \left (x \right ) = \frac {{\mathrm e}^{x}}{\sqrt {2 c_{2} {\mathrm e}^{x}-2 c_{1}}}\]