Given that x(t) = c 1 cos t + c 2 sin t is the general solution
Question:
Given that x(t) = c1 cos ωt + c2 sin ωt is the general solution of x'' = ω2x = 0 on the interval (‑∞,∞), show that a solution satisfying the initial conditions x(0) = x0, x'(0) = x1 is given by
x(t) = x0 cos ωt + x1/ω sin ωt.
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From x0 x 0 c 1 we see that xt ...View the full answer
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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