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 = 0.0123275 (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 = 0.041 (sec), leaf count = 35

\[ \left \{ y \left ( x \right ) =\sqrt {-{x}^{2}+{\it \_C1}},y \left ( x \right ) ={\frac {{\it \_C1}}{x}},y \left ( x \right ) =-\sqrt {-{x}^{2}+{\it \_C1}} \right \} \]