2.276   ODE No. 276

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

\[ \left (y(x)^2-x^2\right ) y'(x)+2 x y(x)=0 \] Mathematica : cpu = 0.15576 (sec), leaf count = 61

\[\left \{\left \{y(x)\to \frac {1}{2} \left (e^{c_1}-\sqrt {-4 x^2+e^{2 c_1}}\right )\right \},\left \{y(x)\to \frac {1}{2} \left (\sqrt {-4 x^2+e^{2 c_1}}+e^{c_1}\right )\right \}\right \}\] Maple : cpu = 0.049 (sec), leaf count = 47

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