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Find and plot both the steady periodic solution Xsp (t) = C cos (ot-a) of the given differential equation and the actual solution X(t) = Xsp (t) + X(t) that satisfies the given initial conditions. x' + 4x' + 5x = 10 cos 3t; x(0) = 0, x'(0) = 0 The steady periodic solution is Xsp (t)=- (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)

Find and plot both the steady periodic solution Xsp (t) = C cos (ot-a) of the given differential equation and the actual solution X(t) = Xsp (t) + X(t) that satisfies the given initial conditions. x' + 4x' + 5x = 10 cos 3t; x(0) = 0, x'(0) = 0 The steady periodic solution is Xsp (t)=- (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)

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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Find and plot both the steady periodic solution Xsp (t) = C cos (@t-x) of the given differential equation and the actual solution X(t) = Xsp (t) + X(t) that satisfies the given initial conditions. x' + 4x' + 5x = 10 cos 3t; x(0) = 0, x'(0) = 0 The steady periodic solution is xp (t) = . (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)
Transcribed Image Text:Find and plot both the steady periodic solution Xsp (t) = C cos (@t-x) of the given differential equation and the actual solution X(t) = Xsp (t) + X(t) that satisfies the given initial conditions. x' + 4x' + 5x = 10 cos 3t; x(0) = 0, x'(0) = 0 The steady periodic solution is xp (t) = . (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)
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