2.1885   ODE No. 1885

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

\[ \left \{t x'(t)-t y'(t)-2 y(t)=0,t x''(t)+2 x'(t)+t x(t)=0\right \} \] Mathematica : cpu = 0.0195699 (sec), leaf count = 66

\[\left \{\left \{x(t)\to \frac {c_2 \cos (t)}{t}+\frac {c_3 \sin (t)}{t},y(t)\to \frac {c_1}{t^2}+c_2 \left (\frac {\cos (t)}{t}-\frac {2 \sin (t)}{t^2}\right )+c_3 \left (\frac {2 \cos (t)}{t^2}+\frac {\sin (t)}{t}\right )\right \}\right \}\] Maple : cpu = 0.175 (sec), leaf count = 47

\[\left \{\left \{x \left (t \right ) = \frac {c_{2} \sin \left (t \right )+c_{3} \cos \left (t \right )}{t}, y \left (t \right ) = \frac {c_{1}+\left (c_{3} t +2 c_{2}\right ) \cos \left (t \right )+\left (c_{2} t -2 c_{3}\right ) \sin \left (t \right )}{t^{2}}\right \}\right \}\]