g(t) = 71-7 if 0 < t <3 -1 if 3
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
![Find a continuous solution to the initial value problem y' + g(t)y = 0, y(1) = 2, where g(t) is the piecewise
function
g(t)=
if 0 < t <3
-1 if 3 < t < 6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d6b1f03-b4bd-4f60-ae23-d8256607755b%2F25efc542-1439-4681-9b2e-71a96bb87d93%2F58b77hu_processed.png&w=3840&q=75)
Transcribed Image Text:Find a continuous solution to the initial value problem y' + g(t)y = 0, y(1) = 2, where g(t) is the piecewise
function
g(t)=
if 0 < t <3
-1 if 3 < t < 6.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1: To make solution continious
Here we find the solution for each portion and
individually then adjust the integral constant such that the solution becomes a continuous function.
Step by step
Solved in 3 steps with 6 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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