Here is the question:
I have posted a link there to this topic so the OP can see my work.How do you solve the following question?
A particle is moving in a straight line. The displacement x, from an origin O on the line, is given at time t by the equation x=e^(-3/4 t) (a sin t + b cos t).
Initially t=0, x=4, dx/dt = 0. Find the constants a and b. Determine also (i) the time elapsing from the start before the particle first reaches O, (ii) the time taken from O to attain the greatest displacement on the negative side of the origin.