2.1185   ODE No. 1185

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

\[ x^2 y''(x)-\left (2 x^3-4\right ) y(x)+5 x y'(x)=0 \] Mathematica : cpu = 0.0310984 (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 = 0.026 (sec), leaf count = 33

\[ \left \{ y \left ( x \right ) ={\frac {1}{{x}^{2}} \left ( {\it \_C2}\,{{\sl K}_{0}\left ({\frac {2\,\sqrt {2}}{3}{x}^{{\frac {3}{2}}}}\right )}+{\it \_C1}\,{{\sl I}_{0}\left ({\frac {2\,\sqrt {2}}{3}{x}^{{\frac {3}{2}}}}\right )} \right ) } \right \} \]