ODE No. 174

\[ \left (x^2+1\right ) x y'(x)+x^2 y(x)=0 \]

✓ Mathematica : cpu = 0.0209379 (sec), leaf count = 17

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

\[\left \{\left \{y(x)\to \frac {c_1}{\sqrt {x^2+1}}\right \}\right \}\]

✓ Maple : cpu = 0.006 (sec), leaf count = 13

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

\[y \left (x \right ) = \frac {c_{1}}{\sqrt {x^{2}+1}}\]