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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 u(x) = exp (1) Given the equation 2y' + 12y = 4 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 =

A first order linear equation in the form y + p(x)y = f(x) can be solved by finding an integrating factor u(x) = exp (1) Given the equation 2y' + 12y = 4 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 =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(1 point) A first order linear equation in the form y + p(x)y = f(x) can be solved by finding an integrating factor u(x) = exp / p(x) dx (1) Given the equation 2y' + 12y = 4 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 =
Transcribed Image Text:(1 point) A first order linear equation in the form y + p(x)y = f(x) can be solved by finding an integrating factor u(x) = exp / p(x) dx (1) Given the equation 2y' + 12y = 4 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 =
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