2.452   ODE No. 452

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

$$(2x^2+1)y^{\prime }(x{)}^2+(x^2+2xy(x)+y(x{)}^2+2)y^{\prime }(x)+2y(x{)}^2+1=0$$ ✓ Mathematica : cpu = 0.0155775 (sec), leaf count = 23

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

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