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 dt 5 When y = dy dt = + 15y = 24; y = 8 8-15t 5 5 Thus, in terms of t, dy dt + 15y = - 8-15t 5 +15(-15)

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Chapter2: Second-order Linear Odes
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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
5
dt
When y =
dy
dt
+ 15y = 24; y =
8
5 5
+ 15y =
8 -15t
Thus, in terms of t,
dy
dt
8-15t
5
+15(-15)
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 5 dt When y = dy dt + 15y = 24; y = 8 5 5 + 15y = 8 -15t Thus, in terms of t, dy dt 8-15t 5 +15(-15)
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