Consider the initial-value problem y' + ey = f(x), y(0) = 1. Express the solution of the IVP for x>0 as a nonelementary integral when f(x) = 1. y = dt + C What is the solution when f(x) = 07 X What is the solution when f(x) = ? y=1 x

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 34CR
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Consider the initial-value problem y' + e*y = f(x), y(0) = 1. Express the solution of the IVP for x>0 as a nonelementary integral when f(x) = 1.
y=e"ex
₁²²
dt + C
X
What is the solution when f(x) = 0?
+1
What is the solution when f(x)=et?
y=1
Transcribed Image Text:Consider the initial-value problem y' + e*y = f(x), y(0) = 1. Express the solution of the IVP for x>0 as a nonelementary integral when f(x) = 1. y=e"ex ₁²² dt + C X What is the solution when f(x) = 0? +1 What is the solution when f(x)=et? y=1
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,