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(b) Find the general solution of the differential equation in Problem 1(d) for t > 1. (c) There are infinitely many solutions for problem (b) which correspond to different con- stants C. Now, determine the value of C such that the solutions of (a) and (b) on the two disjoint intervals together form a continuous function. (d) Write down the expression of this continuous function. Note that this is the solution of the equation in Problem 1(d). (d). y' + 2y = g(t), y(0) = 0, where g(t) = 1, 0 ≤t≤1 t> 1 = 0,

(b) Find the general solution of the differential equation in Problem 1(d) for t > 1. (c) There are infinitely many solutions for problem (b) which correspond to different con- stants C. Now, determine the value of C such that the solutions of (a) and (b) on the two disjoint intervals together form a continuous function. (d) Write down the expression of this continuous function. Note that this is the solution of the equation in Problem 1(d). (d). y' + 2y = g(t), y(0) = 0, where g(t) = 1, 0 ≤t≤1 t> 1 = 0,

Calculus For The Life Sciences
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
Problem 1CR
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(b) Find the general solution of the differential equation in Problem 1(d) for t > 1. (c) There are infinitely many solutions for problem (b) which correspond to different con- stants C. Now, determine the value of C such that the solutions of (a) and (b) on the two disjoint intervals together form a continuous function. (d) Write down the expression of this continuous function. Note that this is the solution of the equation in Problem 1(d).
Transcribed Image Text:(b) Find the general solution of the differential equation in Problem 1(d) for t > 1. (c) There are infinitely many solutions for problem (b) which correspond to different con- stants C. Now, determine the value of C such that the solutions of (a) and (b) on the two disjoint intervals together form a continuous function. (d) Write down the expression of this continuous function. Note that this is the solution of the equation in Problem 1(d).
(d). y' + 2y = g(t), y(0) = 0, where g(t) = 1, 0 ≤t≤1 t> 1 = 0,
Transcribed Image Text:(d). y' + 2y = g(t), y(0) = 0, where g(t) = 1, 0 ≤t≤1 t> 1 = 0,
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