Consider the following linear differential equation, sin(z) y' – cos(r) y = 5 cos(x) (a) Calculate the Integrating factor I(x) = (b) Hence calculate the solution Note: You must use lowercase c for your constant of integration. y(x) = (c) Given the initial condition y(T/2) = 5, calculate the value of the constant of integration c. Note: You must enter your answer exactly, not as a decimal.
Consider the following linear differential equation, sin(z) y' – cos(r) y = 5 cos(x) (a) Calculate the Integrating factor I(x) = (b) Hence calculate the solution Note: You must use lowercase c for your constant of integration. y(x) = (c) Given the initial condition y(T/2) = 5, calculate the value of the constant of integration c. Note: You must enter your answer exactly, not as a decimal.
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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![Consider the following linear differential equation,
sin(r) y' – cos(r) y = 5 cos(x)
(a) Calculate the Integrating factor
I(x) =
(b) Hence calculate the solution
Note: You must use lowercase c for your constant of integration.
y(x) =
(c) Given the initial condition y(T/2) = 5, calculate the value of the constant of integration c.
Note: You must enter your answer exactly, not as a decimal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7a16f8d-ff78-4d02-a938-80c7ce2616ac%2F728ad64f-f96e-450d-b8ec-4999779b9ca5%2Fqr8azhg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following linear differential equation,
sin(r) y' – cos(r) y = 5 cos(x)
(a) Calculate the Integrating factor
I(x) =
(b) Hence calculate the solution
Note: You must use lowercase c for your constant of integration.
y(x) =
(c) Given the initial condition y(T/2) = 5, calculate the value of the constant of integration c.
Note: You must enter your answer exactly, not as a decimal.
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