A. Solve the following initial value problem: with y(4) = 1. (Find y as a function of t.) y = B. On what interval is the solution valid? Answer: It is valid for 0 < t < 1 (t² − 8t + 12) - C. Find the limit of the solution as t approaches the left end of the interval. (Your answer should be a number or the word "infinite".) Answer: D. Similar to C, but for the right end. Answer: dy dt = y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
A. Solve the following initial value problem:
with y(4) = 1. (Find y as a function of t.)
y =
B. On what interval is the solution valid?
Answer: It is valid for 0
< t < 1
(t² − 8t +12)
C. Find the limit of the solution as t approaches the left end of the interval.
(Your answer should be a number or the word "infinite".)
Answer:
D. Similar to C, but for the right end.
Answer:
dy
dt
||
=
Transcribed Image Text:A. Solve the following initial value problem: with y(4) = 1. (Find y as a function of t.) y = B. On what interval is the solution valid? Answer: It is valid for 0 < t < 1 (t² − 8t +12) C. Find the limit of the solution as t approaches the left end of the interval. (Your answer should be a number or the word "infinite".) Answer: D. Similar to C, but for the right end. Answer: dy dt || =
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“Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.”.

Given: The equation is t2-8t+12dydt=y and the initial condition is y4=1.

To find: (A) The solution of the equation.

(B) The interval of the solution.

(C) The limit of the solution when approaches to the left end of the interval.

 

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