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Use the general solution of x" + w?x = 0 given in Problem 7 to show that a solution satisfying the initial conditions x(t,) = Xp, '(t) - r is the solution given in Droblem 7 shifted by an

Use the general solution of x" + w?x = 0 given in Problem 7 to show that a solution satisfying the initial conditions x(t,) = Xp, '(t) - r is the solution given in Droblem 7 shifted by an

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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Hi can you help mw with thant problem?

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The general solution of the problem 7 is  x(t)=  c1 cos wt + c2 sin wt

Use the general solution of x" + w?x = 0 given in Problem 7 to show that a solution satisfying the initial conditions x(1,) = x, x'(to) = x1, is the solution given in Problem 7 shifted by an amount to: x(f) = xo cos w (t – to) + sin @(t– to).
Transcribed Image Text:Use the general solution of x" + w?x = 0 given in Problem 7 to show that a solution satisfying the initial conditions x(1,) = x, x'(to) = x1, is the solution given in Problem 7 shifted by an amount to: x(f) = xo cos w (t – to) + sin @(t– to).
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