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)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
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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