Answered: sint + sint u (t- 27) † sint uct-4T1) +…

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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Question

Help me graph the following equation either by hand or using any graphing software.

I think it should be a periodic unit step function.

y
u = sint + sint u (t- 27) t sint u(t - 4T) + sintu (t-6TT) t ..

Expert Solution

Step 1

For $0 \leq t \leq 2 π$ the function will be $\sin t$ only first terms will be non-zero. For $2 π \leq t \leq 4 π$ the function will be $2 \sin t$ as only first two terms will be non-zero. Thus within a general interval $2 n π \leq t \leq 2 (n + 1) π$ the function will be $(n + 1) \sin t$ .

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