In Problems x = c 1 cos t + c 2 sin t is a two-parameter family
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In Problems x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second order DE '' + x = 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.
1. x(0) = -1, x'(0) = 8
2. x(π/2) = 0, x'(π/2) = 1
3. x(π/6) = ½, x'(π/6) = 0
4. x(π/4) = √2, x'(π/4) = 2√2
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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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