2.232   ODE No. 232

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

\[ x^2+x y(x) y'(x)+y(x)^2=0 \] Mathematica : cpu = 0.146583 (sec), leaf count = 56

\[\left \{\left \{y(x)\to -\frac {\sqrt {-x^4+2 c_1}}{\sqrt {2} x}\right \},\left \{y(x)\to \frac {\sqrt {-x^4+2 c_1}}{\sqrt {2} x}\right \}\right \}\] Maple : cpu = 0.019 (sec), leaf count = 39

\[\left \{y \left (x \right ) = -\frac {\sqrt {-2 x^{4}+4 c_{1}}}{2 x}, y \left (x \right ) = \frac {\sqrt {-2 x^{4}+4 c_{1}}}{2 x}\right \}\]