Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. dy --30t 8 + 30y = 48; y = 8 5 dt 5 When y = 8 8-30t 5 5 J dy = dt Thus, in terms of t, dy + 30y = +30 (²-0) dt
Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. dy --30t 8 + 30y = 48; y = 8 5 dt 5 When y = 8 8-30t 5 5 J dy = dt Thus, in terms of t, dy + 30y = +30 (²-0) dt
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution.
dy
8
8-30t
+ 30y = 48; y =
वह
5
8
8 -30t
When y =
5 5
dy
d't
Thus, in terms of t,
dy
+ 30y =
+30 (⁰)
dt
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd18aae14-5c46-499f-ad8f-4ffb02ea16f6%2F3442c6e3-e280-4034-a630-1e1a9797457a%2Fe4zzjri_processed.png&w=3840&q=75)
Transcribed Image Text:Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution.
dy
8
8-30t
+ 30y = 48; y =
वह
5
8
8 -30t
When y =
5 5
dy
d't
Thus, in terms of t,
dy
+ 30y =
+30 (⁰)
dt
=
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