(a) Solve the differential equation in Problem 1(d) for 0 ≤ t≤ 1 where y(0) = 0. (b) Find the general solution of the differential equation in Problem 1(d) for t > 1. (d). y' + 2y = g(t), y(0) = 0, where g(t) = 1, 0 ≤t≤1 0, t > 1

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.CR: Chapter 11 Review
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(a) Solve the differential equation in Problem 1(d) for 0 ≤ t≤ 1 where y(0) = 0.
(b) Find the general solution of the differential equation in Problem 1(d) for t > 1.
Transcribed Image Text:(a) Solve the differential equation in Problem 1(d) for 0 ≤ t≤ 1 where y(0) = 0. (b) Find the general solution of the differential equation in Problem 1(d) for t > 1.
(d). y' + 2y = g(t), y(0) = 0, where g(t)
=
1, 0 ≤t≤1
0,
t > 1
Transcribed Image Text:(d). y' + 2y = g(t), y(0) = 0, where g(t) = 1, 0 ≤t≤1 0, t > 1
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