2.1901   ODE No. 1901

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

\[ \left \{x'(t)=y(t)-z(t),y'(t)=x(t)+y(t),z'(t)=x(t)+z(t)\right \} \] Mathematica : cpu = 0.0072498 (sec), leaf count = 105

\[\left \{\left \{x(t)\to c_2 \left (e^t-1\right )+c_3 \left (1-e^t\right )+c_1,y(t)\to c_1 \left (e^t-1\right )+c_2 \left (e^t t+1\right )+c_3 \left (-e^t t+e^t-1\right ),z(t)\to c_1 \left (e^t-1\right )+c_2 \left (e^t t-e^t+1\right )+c_3 \left (-e^t t+2 e^t-1\right )\right \}\right \}\] Maple : cpu = 0.199 (sec), leaf count = 43

\[ \left \{ \left \{ x \left ( t \right ) ={\it \_C2}+{\it \_C3}\,{{\rm e}^{t}},y \left ( t \right ) = \left ( {\it \_C3}\,t+{\it \_C1} \right ) {{\rm e}^{t}}-{\it \_C2},z \left ( t \right ) = \left ( \left ( t-1 \right ) {\it \_C3}+{\it \_C1} \right ) {{\rm e}^{t}}-{\it \_C2} \right \} \right \} \]