It is easy to check that for any value of c, the function y = ce 21 is a solution of the equation y'+ 2y = e . Find the value of c for which the solution satisfies the initial condition y(- 2) = 4. C = Question Help: Video D Post to forum Subrnit Question

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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It is easy to check that for any value of c, the function y = ce 2 + e-
is a solution of the equation
y'+2y = e.
Find the value of c for which the solution satisfies the initial condition y-2)= 4.
%3D
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Video D Post to forum
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Transcribed Image Text:It is easy to check that for any value of c, the function y = ce 2 + e- is a solution of the equation y'+2y = e. Find the value of c for which the solution satisfies the initial condition y-2)= 4. %3D Question Help: Video D Post to forum Submit Question O Type here to search
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