I have the following equation,
When I collect the coefficient of each x[t] derivatives, x[t],y[t], u[t] and v[t] the correct answer should be
However when I use Coefficient function for each variable, I can get answer mostly correct except that I am not getting b+sum, d+sum, and k+sum. This is because Collect function is unable to separate sum from x[t],u[t] and constant. Is it possible to separate sum from variable[t]? How to collect coefficient that has summation formula?