Please write explanation and don't use the calculator.1. Consider a damped spring-mass system with ? = 1kg, ? = 4 kg/s^2 and ? = 5 kg/s.a. Write the equation of motion (the differential equation) for this systemb. Find the general solution?(?) =c. Solve the initial value problem if ?(0) = 1 and ?′(0) = 0?(?) 1. Consider a damped spring-mass system with m = 1kg, k = 4 kg/s^2 and b = 5 kg/s.a. Write the equation of motion (the differential equation) for this systemb. Find the general solutiony(t)c. Solve the initial value problem if y(0) = 1 and y'(0) = 0y(t)

Problem based on spring mass system.

Answered: 1. Consider a damped spring-mass system…

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1. Consider a damped spring-mass system with m = 1kg, k = 4 kg/s^2 and b = 5 kg/s. a. Write the equation of motion (the differential equation) for this system b. Find the general solution y(t) c. Solve the initial value problem if y(0) = 1 and y'(0) = 0 y(t)