Solve y' + y = f (t) with y(0) = a, where f (t) is shown on pg 577, #37 (sawtooth wave)
Solve y' + y = f (t) with y(0) = a, where f (t) is shown on pg 577, #37 (sawtooth wave)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
7 please be detailed. I show f(t) on second picture
![7. Solve y' + y = f (t) with y(0) = a, where f (t) is
shown on pg 577, #37 (sawtooth wave)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F486b24c8-8b02-4a6d-85d6-6aef3a827ba3%2Fbd592d8e-a8f6-4dd7-9b82-a6eb7e5ba30c%2Fam1ps3k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. Solve y' + y = f (t) with y(0) = a, where f (t) is
shown on pg 577, #37 (sawtooth wave)
![1, 2,
tanh
{(1)8
trans-
(1)8|
2 3 4 5 6
FIGURE 10.2.11. The graph of the triangular
wave function of Problem 36.
37. If f(t) is the sawtooth function whose graph is shown in
Fig. 10.2.12, then
show
1.
(s_ə – 1)s _ 2 = {(1)f}T
(Suggestion: Note that f'(t) = 1 where it is defined.)
ve the
(1)f
1.
b) and
2.
1.
3 4 5 6
FIGURE 10.2.12. The graph of the sawtooth
function of Problem 37.
53°F Cloudy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F486b24c8-8b02-4a6d-85d6-6aef3a827ba3%2Fbd592d8e-a8f6-4dd7-9b82-a6eb7e5ba30c%2Ff9qmsxk.jpeg&w=3840&q=75)
Transcribed Image Text:1, 2,
tanh
{(1)8
trans-
(1)8|
2 3 4 5 6
FIGURE 10.2.11. The graph of the triangular
wave function of Problem 36.
37. If f(t) is the sawtooth function whose graph is shown in
Fig. 10.2.12, then
show
1.
(s_ə – 1)s _ 2 = {(1)f}T
(Suggestion: Note that f'(t) = 1 where it is defined.)
ve the
(1)f
1.
b) and
2.
1.
3 4 5 6
FIGURE 10.2.12. The graph of the sawtooth
function of Problem 37.
53°F Cloudy
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