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nsider the initial value Problem: x + 2x +10x=2cos (9+) x(0) =0, x¹ (0)=0 which is the simplest algebraic form of the Steady state solution of the problem? A) Y- At cos (97) + Bcos (97) B) y=At sin (at) + Bsin (9+) c) y = Acos (at) + Bsin (97) +crcos(at) + Desi D)y=Acos(at) + B sin (9+) E)all the above and enter the steady- periodic Solution Ksp of the problem Xsp=

nsider the initial value Problem: x + 2x +10x=2cos (9+) x(0) =0, x¹ (0)=0 which is the simplest algebraic form of the Steady state solution of the problem? A) Y- At cos (97) + Bcos (97) B) y=At sin (at) + Bsin (9+) c) y = Acos (at) + Bsin (97) +crcos(at) + Desi D)y=Acos(at) + B sin (9+) E)all the above and enter the steady- periodic Solution Ksp of the problem Xsp=

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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Option C says Dt sin(9t) at the end
consider the initial value Problem: x + 2x Ox=2cos (9+) *1(0)=0 x(0) =0, which is the simplest algebraic form of the Steady state solution * of the problem? A) Y- At Cos (97) + Bcos (91) B) y=At sin (97) + Bsin (9+) c) y = Acos (at) + Bsin (9+) +crcos(at)+ Desir D)y=Acos(at) + B sin (9+) E) all the above and enter the steady- periodic Solution top of the problem Xsp=
Transcribed Image Text:consider the initial value Problem: x + 2x Ox=2cos (9+) *1(0)=0 x(0) =0, which is the simplest algebraic form of the Steady state solution * of the problem? A) Y- At Cos (97) + Bcos (91) B) y=At sin (97) + Bsin (9+) c) y = Acos (at) + Bsin (9+) +crcos(at)+ Desir D)y=Acos(at) + B sin (9+) E) all the above and enter the steady- periodic Solution top of the problem Xsp=
Expert Solution
Step 1

Given initial value problem is:

x''+2x'+10x=2cos9t   . . . (1)

x0=0, x'0=0.

To Do:

Determine the simplest algebraic form of the steady-state solution and find the steady-periodic solution xsp.

 

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