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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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