2.1879   ODE No. 1879

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

\[ \left \{t x'(t)+2 (x(t)-y(t))=t,x(t)+t y'(t)+5 y(t)=t^2\right \} \] Mathematica : cpu = 0.0229742 (sec), leaf count = 58

\[\left \{\left \{x(t)\to \frac {c_1}{t^4}+\frac {c_2}{t^3}+\frac {1}{30} t (2 t+9),y(t)\to -\frac {c_1}{t^4}-\frac {c_2}{2 t^3}+\frac {1}{60} t (8 t-3)\right \}\right \}\] Maple : cpu = 0.088 (sec), leaf count = 54

\[\left \{\left \{x \left (t \right ) = \frac {2 t^{6}+9 t^{5}+30 c_{1} t +30 c_{2}}{30 t^{4}}, y \left (t \right ) = \frac {8 t^{6}-3 t^{5}-30 c_{1} t -60 c_{2}}{60 t^{4}}\right \}\right \}\]