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
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Chapter1: Functions And Models
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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
=
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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