ODE No. 466

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

✓ Mathematica : cpu = 2.17632 (sec), leaf count = 51

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

\[\left \{\left \{y(x)\to -\sqrt {2 e^{c_1} x-e^{2 c_1}}\right \},\left \{y(x)\to \sqrt {2 e^{c_1} x-e^{2 c_1}}\right \}\right \}\]

✓ Maple : cpu = 0.573 (sec), leaf count = 71

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

\[y \left (x \right ) = x\]