11.28   ODE No. 1940

$$\boxed{{\displaystyle \begin{array}{rl}{x}_1^{\prime }(t)\sin (x_2(t))& =x_4(t)\sin (x_3(t))+x_5(t)\cos (x_3(t))\\ x_2^{\prime }(t)& =x_4(t)\cos (x_3(t))-x_5(t)\sin (x_3(t))\\ x_1^{\prime }(t)\cos (x_2(t))+x_3^{\prime }(t)& =a\\ x_4^{\prime }(t)-a(1-\lambda )x_5(t)& =-m\sin (x_2(t))\cos (x_3(t))\\ a(1-\lambda )x_4(t)+x_5^{\prime }(t)& =m\sin (x_2(t))\sin (x_3(t))\end{array}}}$$

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

Mathematica: cpu = 0.007001 (sec), leaf count = 118 $$\text{DSolve}[\{{\text{x1}}^{\prime }(t)\sin (\text{x2}(t))=\text{x4}(t)\sin (\text{x3}(t))+\text{x5}(t)\cos (\text{x3}(t)),{\text{x2}}^{\prime }(t)=\text{x4}(t)\cos (\text{x3}(t))-\text{x5}(t)\sin (\text{x3}(t)),{\text{x1}}^{\prime }(t)\cos (\text{x2}(t))+{\text{x3}}^{\prime }(t)=a,{\text{x4}}^{\prime }(t)-a(1-\lambda )\text{x5}(t)=-m\sin (\text{x2}(t))\cos (\text{x3}(t)),a(1-\lambda )\text{x4}(t)+{\text{x5}}^{\prime }(t)=m\sin (\text{x2}(t))\sin (\text{x3}(t))\},\{\text{x1}(t),\text{x2}(t),\text{x3}(t),\text{x4}(t),\text{x5}(t)\},t]$$

Maple: cpu = 0 (sec), leaf count = 0 $$\text{hanged}$$