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A first order linear equation in the form y + p(x)y = f(x) can be solved by finding an integrating factor μ(x) = exp (1) Given the equation y' + 2xy = 8x find μ(x) (2) Then find an explicit general solution with arbitrary constant C. y = = (3) Then solve the initial value problem with y(0) = 3 y = p(/p(x) dx)

A first order linear equation in the form y + p(x)y = f(x) can be solved by finding an integrating factor μ(x) = exp (1) Given the equation y' + 2xy = 8x find μ(x) (2) Then find an explicit general solution with arbitrary constant C. y = = (3) Then solve the initial value problem with y(0) = 3 y = p(/p(x) dx)

Calculus For The Life Sciences
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 33CR
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Solve all parts...and hand written ..i'll upvote
A first order linear equation in the form y + p(x)y = f(x) can be solved by finding an integrating factor μ(x) = exp( (1) Given the equation y' + 2xy = 8x find μ(x) = (2) Then find an explicit general solution with arbitrary constant C. y = (3) Then solve the initial value problem with y(0) = 3 exp(/p(x) dx) y =
Transcribed Image Text:A first order linear equation in the form y + p(x)y = f(x) can be solved by finding an integrating factor μ(x) = exp( (1) Given the equation y' + 2xy = 8x find μ(x) = (2) Then find an explicit general solution with arbitrary constant C. y = (3) Then solve the initial value problem with y(0) = 3 exp(/p(x) dx) y =
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