3. For Small values of dw, V(t) can be written as 2 sin (N+1) 6wt V(t) = f(t) sin N Wo + with f(t):= Swt Plot V(t) of Equation (1) and f(t) on the same set of axes. Take dw = 0.01, N = 10 and wo = 1. 4. Is t = 0 a root of f(t)? Why (not)? 5. Find the expression for the roots of f(t). Hint: sin 0 m = 0, ±1,+2,-. 0 implies 0 = MA where

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. For Small values of dw, V (t) can be written as
2 sin N+1) Swt
V (t) = f(t) sin
N
Wo t
with f(t) :=
%3D
Swt
Plot V(t) of Equation (1) and f(t) on the same set of axcs. Take dw = 0.01, N = 10
and wo = 1.
4. Is t = 0 a root of f(t)? Why (not)?
[2
5. Find the expression for the roots of f(t). Hint: sin 0
т 3 0, +1, +2, ..
= 0 implies 0
— тп where
[3
Transcribed Image Text:3. For Small values of dw, V (t) can be written as 2 sin N+1) Swt V (t) = f(t) sin N Wo t with f(t) := %3D Swt Plot V(t) of Equation (1) and f(t) on the same set of axcs. Take dw = 0.01, N = 10 and wo = 1. 4. Is t = 0 a root of f(t)? Why (not)? [2 5. Find the expression for the roots of f(t). Hint: sin 0 т 3 0, +1, +2, .. = 0 implies 0 — тп where [3
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