Find the general solution of the differential equation and check the result by differentiation. dy = 64t dt

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Find the general solution of the differential equation and check the result by differentiation.
dy
64t7
dt
Step 1
dy
When solving a differential equation,
64t', it is convenient to write it in the equivalent differential form
dt
dy =
64t’dt. To find the general solution, we (integrate
both sides.
Thus,
dt
Transcribed Image Text:Find the general solution of the differential equation and check the result by differentiation. dy 64t7 dt Step 1 dy When solving a differential equation, 64t', it is convenient to write it in the equivalent differential form dt dy = 64t’dt. To find the general solution, we (integrate both sides. Thus, dt
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