Consider the following initial value problem: y" + 8y' + 65y = h(t); y(0) = 0, y (0) = 7; 了 65,号 (a) Sketch the graph of the forcing function on an appropriate interval. 70 + 69 68 67 66 65 64 63 62 61 60 3. (b) Find the solution of the given initial value problem. NOTE: Denote the two Heaviside functions by uc(t) and ua(t). Indicate separately the values ofc and d knowing that c is the minimum of the two values. y(t) =
Consider the following initial value problem: y" + 8y' + 65y = h(t); y(0) = 0, y (0) = 7; 了 65,号 (a) Sketch the graph of the forcing function on an appropriate interval. 70 + 69 68 67 66 65 64 63 62 61 60 3. (b) Find the solution of the given initial value problem. NOTE: Denote the two Heaviside functions by uc(t) and ua(t). Indicate separately the values ofc and d knowing that c is the minimum of the two values. y(t) =
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
y(t)=
c=
d=
![Consider the following initial value problem:
E
y" + 8y' + 65y = h(t); y(0) = 0,
y'(0) = 7;
S 65, <t<
0, 0<t< or t>
27T
h(t) =
27
(a) Sketch the graph of the forcing function on an appropriate interval.
70 +
69
68
67+
66
65-
64-
63
62
61
60
4
(b) Find the solution of the given initial value problem.
NOTE: Denote the two Heaviside functions by uc(t) and ud(t). Indicate separately
the values ofc and d knowing that c is the minimum of the two values.
y(t) =
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d701dc6-1a52-4103-ac5e-2090c27880eb%2F371aa15f-acc2-4bac-90e0-d8346b470a7d%2Fg29mhxj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following initial value problem:
E
y" + 8y' + 65y = h(t); y(0) = 0,
y'(0) = 7;
S 65, <t<
0, 0<t< or t>
27T
h(t) =
27
(a) Sketch the graph of the forcing function on an appropriate interval.
70 +
69
68
67+
66
65-
64-
63
62
61
60
4
(b) Find the solution of the given initial value problem.
NOTE: Denote the two Heaviside functions by uc(t) and ud(t). Indicate separately
the values ofc and d knowing that c is the minimum of the two values.
y(t) =
X
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