dy ky, dt NOTE It can be shown that y=Cet is the family of solutions to the differential equation where C is the initial value of y (y(0) - C). The key is to note that the variable on the right of the kt is found through differential equation is the dependent variable. Where the solution to integration techniques learned up to this point in Calculus 2, solving discussed in section 4.3. dy dt dy ky is different and will be dt Solve the following initial-value problems starting from 30 4. dy dt =7y A. y At what time does y increase to 100 or drop to 1? Round your answer to four decimal places. B. t=

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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dy
ky,
dt
NOTE It can be shown that y=Cet is the family of solutions to the differential equation
where C is the initial value of y (y(0) - C). The key is to note that the variable on the right of the
kt is found through
differential equation is the dependent variable. Where the solution to
integration techniques learned up to this point in Calculus 2, solving
discussed in section 4.3.
dy
dt
dy
ky is different and will be
dt
Solve the following initial-value problems starting from 30 4.
dy
dt
=7y
A.
y
At what time does y increase to 100 or drop to 1? Round your answer to four decimal places.
B.
t=
Transcribed Image Text:dy ky, dt NOTE It can be shown that y=Cet is the family of solutions to the differential equation where C is the initial value of y (y(0) - C). The key is to note that the variable on the right of the kt is found through differential equation is the dependent variable. Where the solution to integration techniques learned up to this point in Calculus 2, solving discussed in section 4.3. dy dt dy ky is different and will be dt Solve the following initial-value problems starting from 30 4. dy dt =7y A. y At what time does y increase to 100 or drop to 1? Round your answer to four decimal places. B. t=
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