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x" + 4x' + 5x = 10 cos 3t; x(0) = x'(0) = 0 %3D

x" + 4x' + 5x = 10 cos 3t; x(0) = x'(0) = 0 %3D

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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Need help for #11 please

+ 5x = -4 cos 5t = 3 sin 10t 10. x" +3x' +3x = 8 cos 10t + 6 sin 10t 9.2x"+2x' + x In each of Problems 11 through 14, find and plot both the steady periodic solution xsp(t) = C cos(@t – a) of the given differential equation and the actual solution x(1) = Xsp(t) + Xtr(t) that satisfies the given initial conditions. %3D 11. x" +4x' + 5x = 10 cos 3t; x (0) = x'(0) = 0 10 sin 5t; x (0) = x'(0) = 0 I. %3D 12. x" + 6x' + 13x = +2x'+26x = 600 cos 10t; x(0) = 10, x'(0) = 0 200 cos t + 520 sin t; x(0) = -30, %3D 13. x" %3D 14. x" + 8x' + 25x x'(0) = –10 %3D a forced mass–spring-dashpot system with equation mx" + a Each of Problems 15 through 18 gives the parameters for Investigate the possibility of practi-
Transcribed Image Text:+ 5x = -4 cos 5t = 3 sin 10t 10. x" +3x' +3x = 8 cos 10t + 6 sin 10t 9.2x"+2x' + x In each of Problems 11 through 14, find and plot both the steady periodic solution xsp(t) = C cos(@t – a) of the given differential equation and the actual solution x(1) = Xsp(t) + Xtr(t) that satisfies the given initial conditions. %3D 11. x" +4x' + 5x = 10 cos 3t; x (0) = x'(0) = 0 10 sin 5t; x (0) = x'(0) = 0 I. %3D 12. x" + 6x' + 13x = +2x'+26x = 600 cos 10t; x(0) = 10, x'(0) = 0 200 cos t + 520 sin t; x(0) = -30, %3D 13. x" %3D 14. x" + 8x' + 25x x'(0) = –10 %3D a forced mass–spring-dashpot system with equation mx" + a Each of Problems 15 through 18 gives the parameters for Investigate the possibility of practi-
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