\[ \left \{\text {x1}'(t) \sin (\text {x2}(t))=\text {x4}(t) \sin (\text {x3}(t))+\text {x5}(t) \cos (\text {x3}(t)),\text {x2}'(t)=\text {x4}(t) \cos (\text {x3}(t))-\text {x5}(t) \sin (\text {x3}(t)),\text {x1}'(t) \cos (\text {x2}(t))+\text {x3}'(t)=a,\text {x4}'(t)-a (1-\lambda ) \text {x5}(t)=-m \sin (\text {x2}(t)) \cos (\text {x3}(t)),a (1-\lambda ) \text {x4}(t)+\text {x5}'(t)=m \sin (\text {x2}(t)) \sin (\text {x3}(t))\right \} \] ✗ Mathematica : cpu = 0.0070427 (sec), leaf count = 0
, could not solve
DSolve[{Sin[x2[t]]*Derivative[1][x1][t] == Sin[x3[t]]*x4[t] + Cos[x3[t]]*x5[t], Derivative[1][x2][t] == Cos[x3[t]]*x4[t] - Sin[x3[t]]*x5[t], Cos[x2[t]]*Derivative[1][x1][t] + Derivative[1][x3][t] == a, -(a*(1 - lambda)*x5[t]) + Derivative[1][x4][t] == -(m*Cos[x3[t]]*Sin[x2[t]]), a*(1 - lambda)*x4[t] + Derivative[1][x5][t] == m*Sin[x2[t]]*Sin[x3[t]]}, {x1[t], x2[t], x3[t], x4[t], x5[t]}, t]
✗ Maple : cpu = 0. (sec), leaf count = 0
, exception
time expired