2.1910   ODE No. 1910

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

\[ \left \{t x'(t)=2 x(t)-t,t^3 y'(t)=t^2 y(t)-x(t)+t,t^4 z'(t)=-t^2 y(t)+t^3 z(t)-x(t)+t\right \} \] Mathematica : cpu = 0.006471 (sec), leaf count = 39

\[\left \{\left \{x(t)\to t+c_3 t^2,y(t)\to c_2 t+c_3,z(t)\to c_1 t+\frac {c_3}{t}+c_2\right \}\right \}\] Maple : cpu = 0.253 (sec), leaf count = 37

\[ \left \{ \left \{ x \left ( t \right ) ={\it \_C3}\,{t}^{2}+t,y \left ( t \right ) ={\it \_C2}\,t+{\it \_C3},z \left ( t \right ) ={\frac {{\it \_C1}\,{t}^{2}+{\it \_C2}\,t+{\it \_C3}}{t}} \right \} \right \} \]