2.481   ODE No. 481

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

\[ \left (x^2+y(x)^2\right ) y'(x)+x y(x) y'(x)^2+x y(x)=0 \] Mathematica : cpu = 0.0308551 (sec), leaf count = 49

\[\left \{\left \{y(x)\to \frac {c_1}{x}\right \},\left \{y(x)\to -\sqrt {-x^2+2 c_1}\right \},\left \{y(x)\to \sqrt {-x^2+2 c_1}\right \}\right \}\] Maple : cpu = 0.032 (sec), leaf count = 35

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