In this problem, x = C₁ cos(t) + C₂ sin(t) is a two-parameter family of solutions of the second-order DE x" + x = 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. X(π/2) = 0, x'(π/2) = 1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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In this problem, x = C₁ cos(t) + C₂ sin(t) is a two-parameter family of solutions of the second-order DE x" + x = 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.
X(π/2) = 0, X'(π/2) = 1
X
Transcribed Image Text:In this problem, x = C₁ cos(t) + C₂ sin(t) is a two-parameter family of solutions of the second-order DE x" + x = 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. X(π/2) = 0, X'(π/2) = 1 X
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,