2.284   ODE No. 284

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

\[ \left (x^2+4 y(x)^2\right ) y'(x)-x y(x)=0 \] Mathematica : cpu = 0.124961 (sec), leaf count = 59

\[\left \{\left \{y(x)\to -\frac {x}{2 \sqrt {W\left (\frac {1}{4} e^{-\frac {c_1}{2}} x^2\right )}}\right \},\left \{y(x)\to \frac {x}{2 \sqrt {W\left (\frac {1}{4} e^{-\frac {c_1}{2}} x^2\right )}}\right \}\right \}\] Maple : cpu = 0.12 (sec), leaf count = 21

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