Solve the following initial value problem: dy dt with y(1) = 3. Find the integrating factor, u(t) and then find y(t): = t- = + 4y = 4t 3

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:
dy
dt
with y(1) = 3.
Find the integrating factor, u(t)
and then find y(t) =
=
t-
=
+ 4y = 4t
Transcribed Image Text:Solve the following initial value problem: dy dt with y(1) = 3. Find the integrating factor, u(t) and then find y(t) = = t- = + 4y = 4t
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