græ € (0,π). a) Calculate the Integrating factor I (a) = sin (x) y+cos (x) y = cos(x) ) Hence calculate the solution y(x) = lote: you must use lowercase c for your constant of integration. :) Given the initial condition y(π/2) = 6, calculate the value of the constant of integration c. lote: you must enter your answer exactly, not as a decimal.
græ € (0,π). a) Calculate the Integrating factor I (a) = sin (x) y+cos (x) y = cos(x) ) Hence calculate the solution y(x) = lote: you must use lowercase c for your constant of integration. :) Given the initial condition y(π/2) = 6, calculate the value of the constant of integration c. lote: you must enter your answer exactly, not as a decimal.
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.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 8CR
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Transcribed Image Text:Consider the following linear differential equation,
for x = (0, π).
(a) Calculate the Integrating factor I (x) =
sin (x) yl+ cos(x) y = cos(x)
(b) Hence calculate the solution y(x) =
Note: you must use lowercase c for your constant of integration.
(c) Given the initial condition y (π/2) = 6, calculate the value of the constant of integration c.
Note: you must enter your answer exactly, not as a decimal.
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