ODE No. 295

$$x(-x^2+xy(x)+y(x{)}^2)y^{\prime }(x)+x^{2}y(x)-y(x{)}^3+xy(x{)}^2=0$$ ✓ Mathematica : cpu = 0.230981 (sec), leaf count = 31

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

$$\text{Solve}[\frac{x}{y(x)}+\frac{y(x)}{x}+\log \left(\frac{y(x)}{x}\right)=-2\log (x)+c_1,y(x)]$$ ✓ Maple : cpu = 0.261 (sec), leaf count = 29

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

$$y\left(x\right)={\mathrm{e}}^{\mathrm{RootOf}({\mathrm{e}}^{2\mathit{\text{\_Z}}}+2{\mathrm{e}}^{\mathit{\text{\_Z}}}\ln \left(x\right)+2{\mathrm{e}}^{\mathit{\text{\_Z}}}{c}_1+\mathit{\text{\_Z}}{\mathrm{e}}^{\mathit{\text{\_Z}}}+1)}x$$