(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,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

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).

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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