Consider the differential equation y''(t) + k^2y(t) = 0, where k > 0 is a real number. Complete parts a though c below. a. Verify by substitution that when k = 1, a solution of the equation is y(t) = C_1 sin t + C_2 cos t. You may assume that this function is the general solution.
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First, we need to find the first and second derivatives of the given function y(t) = C1 sin(t) + C2 cos(t). Show more…
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