Solve the following initial value problem: with y(1) = 4. Put the problem in standard form. Then find the integrating factor, p(t) and finally find y(t) = = t dy dt + 3y = 4t

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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Solve the following initial value problem:
with y(1)
= 4.
Put the problem in standard form.
Then find the integrating factor, p(t)
and finally find y(t) =
=
dy
dt
t-
+ 3y = 4t
Transcribed Image Text:Solve the following initial value problem: with y(1) = 4. Put the problem in standard form. Then find the integrating factor, p(t) and finally find y(t) = = dy dt t- + 3y = 4t
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