Section 1.8 In Exercises 1-4, solve the given initial-value problem. (For Exercise 3, you may "complexify" the problem, if you wish!) dy dy 2. - 2y = 3e-2t dt dy 3. + 3y = cos(2t) dt dy 4. - 2y = 7e2t 1. + 2y = e'/3 dt y(0) = 1 dt y(0) = 10 y(0) = -1 y(0) = 3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.6: Applications Of Differential Equations
Problem 15E: Solve Exercise 14 if a 25 solution of the same mixture is added instead of pure alcohol.
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Section 1.8
In Exercises 1-4, solve the given initial-value problem. (For Exercise 3, you may "complexify" the problem, if
you wish!)
dy
1.
+ 2y = e/3
dt
dy
2.
2y = 3e-2t
dt
dy
3.
+ 3y = cos(2t)
dt
dy
4.
2y = 7e2t
dt
y(0) = 1
y(0) = 10
y(0) = -1
y(0) = 3
Transcribed Image Text:Section 1.8 In Exercises 1-4, solve the given initial-value problem. (For Exercise 3, you may "complexify" the problem, if you wish!) dy 1. + 2y = e/3 dt dy 2. 2y = 3e-2t dt dy 3. + 3y = cos(2t) dt dy 4. 2y = 7e2t dt y(0) = 1 y(0) = 10 y(0) = -1 y(0) = 3
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