2. Motion of a Particle Connected to a SpringConsider a particle of mass m connected to a spring with a spring (elastic) constants = k exp(-at) at time t, where k and a are both positive. Thus, the spring constantages over time and decreases. The governing equation for the position y(t) of the particleat time t is given by,dy+ sy = 0.(1)dt2(a) Let, z = (4k/a?m)'/² exp(-at/2). Derive the governing equation for y(2).

Here z(t) is given, and it is again a function of t. To get the governing equation for y(z), the…

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