Find the solution y(t): dy dt 3. =y-3, y(0) = 2.

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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Find the solution y(t):
dy
3. =y-3, y(0) = 2.
dt
4.
5.
6.
dy
dt
dy
dt
dy
dt
= 3y + 2e-t, y(0) = 2.
= 2y+3e²t, y(0) = 1.
=-y+e-t cos(t), y(0) = 2.
Transcribed Image Text:Find the solution y(t): dy 3. =y-3, y(0) = 2. dt 4. 5. 6. dy dt dy dt dy dt = 3y + 2e-t, y(0) = 2. = 2y+3e²t, y(0) = 1. =-y+e-t cos(t), y(0) = 2.
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