2.1185   ODE No. 1185

\[ \left (4-2 x^3\right ) y(x)+x^2 y''(x)+5 x y'(x)=0 \] Mathematica : cpu = 0.0284057 (sec), leaf count = 67


\[\left \{\left \{y(x)\to \frac {3 \sqrt [3]{6} c_2 K_0\left (\frac {2}{3} \sqrt {2} x^{3/2}\right )}{x^2}-\frac {3 \sqrt [3]{-3} c_1 I_0\left (\frac {2}{3} \sqrt {2} x^{3/2}\right )}{2^{2/3} x^2}\right \}\right \}\] Maple : cpu = 0.027 (sec), leaf count = 33


\[y \relax (x ) = \frac {c_{2} \BesselK \left (0, \frac {2 \sqrt {2}\, x^{\frac {3}{2}}}{3}\right )+c_{1} \BesselI \left (0, \frac {2 \sqrt {2}\, x^{\frac {3}{2}}}{3}\right )}{x^{2}}\]