\[ \left \{t x'(t)=2 x(t)-t,t^3 y'(t)=t^2 y(t)-x(t)+t,t^4 z'(t)=t^3 z(t)-t^2 y(t)-x(t)+t\right \} \] ✓ Mathematica : cpu = 0.0074979 (sec), leaf count = 39
DSolve[{t*Derivative[1][x][t] == -t + 2*x[t], t^3*Derivative[1][y][t] == t - x[t] + t^2*y[t], t^4*Derivative[1][z][t] == t - x[t] - t^2*y[t] + t^3*z[t]},{x[t], y[t], z[t]},t]
\[\left \{\left \{x(t)\to t+c_3 t^2,y(t)\to c_2 t+c_3,z(t)\to c_1 t+\frac {c_3}{t}+c_2\right \}\right \}\] ✓ Maple : cpu = 0.107 (sec), leaf count = 37
dsolve({t*diff(x(t),t) = 2*x(t)-t, t^3*diff(y(t),t) = -x(t)+t^2*y(t)+t, t^4*diff(z(t),t) = -x(t)-t^2*y(t)+t^3*z(t)+t})
\[\left \{x \left (t \right ) = t^{2} c_{3}+t, y \left (t \right ) = t c_{2}+c_{3}, z \left (t \right ) = \frac {t^{2} c_{1}+t c_{2}+c_{3}}{t}\right \}\]