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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#3
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7ba0833-f339-41fe-a069-4c4ccb7b4c79%2Fe10d7b95-2bfe-44d2-b712-0a4d6ef7732e%2Fp11aq6k.jpeg&w=3840&q=75)
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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