sorry i am new to this site so havent mastered LaTex yet but question is fairly straightforward to write....
The acceleration, x'' , of an object which is moving in a straight line, is
where x(t) is the distance travelled (and t is time). Write down the
differential equation for x(t). Find its general solution and then that
solution which satisfies x(0) = 0, x'(0) = 0;
i really cant tell how i am meant to tackle this question
thanks. that does make sense to me. however the question is taken from a practise exam paper and in the solutions, it tells me that:
x(t) = A + Be^(-2t) + t - e^(-t)
it asks me to find the general solution but what you give in still in terms of x'? how can this be?