2.543   ODE No. 543

1. Problem in Latex
2. Mathematica input
3. Maple input

$$x(x^2+1)y^{\prime }(x)-x^{2}y(x)+y(x{)}^3(-y^{\prime }(x{)}^2)+xy(x{)}^2{y}^{\prime }(x{)}^3=0$$ ✓ Mathematica : cpu = 0.0231632 (sec), leaf count = 55

$$\{\{y(x)\to -\sqrt{c_1{x}^2+\frac{c_1}{1+c_1{}^2}}\},\{y(x)\to \sqrt{c_1{x}^2+\frac{c_1}{1+c_1{}^2}}\}\}$$ ✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(x*y(x)^2*diff(y(x),x)^3-y(x)^3*diff(y(x),x)^2+x*(x^2+1)*diff(y(x),x)-x^2*y(x)=0,y(x))