Cant get this question.. it comes from an ODE's assignment:

Find the general solution to the system: t(dX/dt) =[2;3;−1;−2]*X(t) + (1−t22t)
Hint: in the homogeneous equation [t*d/dt-A]X(t), let X=t^λ*W where W is a constant vector

Question

Cant get this question.. it comes from an ODE's assignment:
    
Find the general solution to the system: t(dX/dt) =[2;3;−1;−2]*X(t) +  (1−t22t)
    Hint: in the homogeneous equation [t*d/dt-A]X(t), let X=t^λ*W where W is a constant vector

anonymous · Answer

why?

anonymous · Answer

oh and the [2;3;-1;-2] is $$\left[\begin{matrix}2 & -1 \ 3 & -2\end{matrix}\right]$$

anonymous · Answer

im not really sure what method works best dont really know where to go with a LaPlace, tried exponential method need a little start i think to get going on this one