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Transcript
Homework 22 1. Find the general solution to y (3) − 21y ′′ + 151y ′ − 291y = 0. 2. Determine the period T , the angular frequency ω0 , the amplitude C, and the phase angle α for a mass of 4kg oscillating on a spring with k = 3 N/m with initial position x(0) = 1 and initial velocity x′ (0) = −1. 3. Solve the initial value problem y ′′ − y = ex + 3x + sin x, y(0) = 0, y ′(0) = 1. 4. Consider the equation 2x′′ + 3x = sin2 ωt. For what values of ω does resonance occur?
