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=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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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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