ODE No. 464

\[ y(x) y'(x)^2+2 x y'(x)-y(x)=0 \] Mathematica : cpu = 0.0979504 (sec), leaf count = 52

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

\[\left \{\left \{y(x)\to -e^{\frac {c_1}{2}} \sqrt {-2 x+e^{c_1}}\right \},\left \{y(x)\to e^{\frac {c_1}{2}} \sqrt {-2 x+e^{c_1}}\right \}\right \}\] Maple : cpu = 0.871 (sec), leaf count = 70

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

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