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 = 0.0225606 (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 = 0.048 (sec), leaf count = 54

\[ \left \{ \left \{ x \left ( t \right ) ={\frac {2\,{t}^{6}+9\,{t}^{5}+30\,{\it \_C2}\,t+30\,{\it \_C1}}{30\,{t}^{4}}},y \left ( t \right ) ={\frac {8\,{t}^{6}-3\,{t}^{5}-30\,{\it \_C2}\,t-60\,{\it \_C1}}{60\,{t}^{4}}} \right \} \right \} \]