Question

Solve the following differential equations. A spring has a constant of 4 N/m. The spring is...

Solve the following differential equations.

A spring has a constant of 4 N/m. The spring is hooked a mass of 2 kg. Movement takes place in a viscous medium that opposes resistance equivalent to instantaneous speed. If the system is subjected to an external force of (4 cos(2t) - 2 sin(2t)) N. Determine:

a. The position function relative to time in the transient state or homogeneous solution

b. Position function relative to time in steady state or particular solution

c. The position function relative to time

Please show the whole procedure.

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