A point performs damped oscillations with frequency w and damping coefficient according to the law (4.1b). Find

Question:

A point performs damped oscillations with frequency w and damping coefficient β according to the law (4.1b). Find the initial amplitude a o and the initial phase (z if at the moment t = 0 the displacement of the point and its velocity projection are equal to
(a) x (0) = 0 and vx (0) = Xo;
(b) x (0) ---- Xo and vx (0) ---- O.