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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
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.
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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