Explore BrainMass

Explore BrainMass

    Derivatives of Trigonometric Functions : Chain Rule

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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)

    © BrainMass Inc. brainmass.com November 24, 2021, 1:03 pm ad1c9bdddf

    Solution Summary

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