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    Derivatives of Trigonometric Functions : Chain Rule

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    Use chain rule to verify that every function of the form

    y = a sin (5t) + b cos (5t)

    is a solution to the differential equation

    d^2y/dt^2 = -25y.

    Then use this fact to find the solution which also satisfies the initial conditions:

    y(0) = 3 and y'(0) = 0

    (^ means exponent and d^2y is over dt^2)

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    https://brainmass.com/math/derivatives/derivatives-of-trigonometric-functions-chain-rule-136716

    Solution Summary

    The chain rule is applied to finding a derivative. The solution is detailed and well presented.

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