Solution of task 13.5.2 from the collection of Kepe OE

Solution of task 13.5.2 from the collection of Kepe OE

13.5.2
The solution of the differential equation of damped oscillations of a material point has the form x = e-0.5t (C1 cos 3t + C2 sin 3t). Determine the integration constant C2 if the integration constant C1 = 1.5 and at the instant t0 = 0 the velocity of the point v0 = 0. (Answer 0.25)