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 + 15y = 21; y = -3e-15t dt When y = =-3-15, dy = 21e 15t dt Thus, in terms of t, dy dt + 15y = 3e 21 Need Help? -15t Read It X +15(-e-15t) Watch It

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
dt
+ 15y = 21; y =
-3e-15t
When y =
=-3-15,
dy
dt
= 21e 15t
Thus, in terms of t,
dy
dt
+ 15y = 3e
+15(3-3-15t)
21
Need Help?
Watch It
-15t
Read It
X
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 dt + 15y = 21; y = -3e-15t When y = =-3-15, dy dt = 21e 15t Thus, in terms of t, dy dt + 15y = 3e +15(3-3-15t) 21 Need Help? Watch It -15t Read It X
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