ODE No. 979

$$y^{\prime }(x)=\frac{-x^3+3x^{2}y(x)-3xy(x{)}^2+y(x{)}^3+x}{x}$$ ✓ Mathematica : cpu = 0.101009 (sec), leaf count = 37

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

$$\{\{y(x)\to x-\frac{1}{\sqrt{-2\log (x)+c_1}}\},\{y(x)\to x+\frac{1}{\sqrt{-2\log (x)+c_1}}\}\}$$ ✓ Maple : cpu = 0.042 (sec), leaf count = 57

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

$$y\left(x\right)=\frac{x\sqrt{2c_1-2\ln \left(x\right)}-1}{\sqrt{2c_1-2\ln \left(x\right)}}$$