Consider the following initial value problem: y" +9y = sint U2π(t) sin(t – 2π); y(0) = 0, y'(0) = 0; (a) Sketch the graph of the forcing function on an appropriate interval. H 0 π 4 π/2 3n/4 y(t): 5π/4 3/2 7/4 2π (b) Find the solution of the given initial value problem. NOTE: Denote the Heaviside function by uc(t) where uc(t) = 1 if t≥ 1 and 0 otherwise. Indicate separately the value of c. = 9/4 5/2 11π/4 3m
Consider the following initial value problem: y" +9y = sint U2π(t) sin(t – 2π); y(0) = 0, y'(0) = 0; (a) Sketch the graph of the forcing function on an appropriate interval. H 0 π 4 π/2 3n/4 y(t): 5π/4 3/2 7/4 2π (b) Find the solution of the given initial value problem. NOTE: Denote the Heaviside function by uc(t) where uc(t) = 1 if t≥ 1 and 0 otherwise. Indicate separately the value of c. = 9/4 5/2 11π/4 3m
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 30E
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![Consider the following initial value problem:
y" +9y = sint U2π(t) sin(t – 2π); y(0) = 0, y'(0) = 0;
(a) Sketch the graph of the forcing function on an appropriate interval.
H
0
π 4 π/2 3n/4
y(t):
5π/4 3/2 7/4 2π
(b) Find the solution of the given initial value problem.
NOTE: Denote the Heaviside function by uc(t) where uc(t) = 1 if t≥ 1 and 0 otherwise.
Indicate separately the value of c.
-
9/4 5/2 11π/4 3m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69c157c2-4c8b-46d7-bdfe-50492405e608%2Fc81177b5-ba5a-400e-9757-8168cfd69aa3%2F0hvh4h_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following initial value problem:
y" +9y = sint U2π(t) sin(t – 2π); y(0) = 0, y'(0) = 0;
(a) Sketch the graph of the forcing function on an appropriate interval.
H
0
π 4 π/2 3n/4
y(t):
5π/4 3/2 7/4 2π
(b) Find the solution of the given initial value problem.
NOTE: Denote the Heaviside function by uc(t) where uc(t) = 1 if t≥ 1 and 0 otherwise.
Indicate separately the value of c.
-
9/4 5/2 11π/4 3m
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