Solved: Problem-motion of a mass on a spring with damping, Mathematics

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Problem-motion of a mass on a spring with damping

Assignment:

The differential equation

y" = -ky - cy'

is used to model a motion of a mass on a spring with damping, where k is the spring constant and c is the damping coefficient.

a) Show the function y = e^-t cos 3t satisfies the differential equation y" = -10y - 2y'.

b) Show the graph of y(t)

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Problem-motion of a mass on a spring with damping

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Mathematics: Problem-motion of a mass on a spring with damping

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