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Solve the separable differential equation for y by making the substitution u = t +4y. dy dt = (t + 4y) ². Use the following initial condition: y(0) = 8. Note: Use arctan(x) for the inverse tangent function. y =

Solve the separable differential equation for y by making the substitution u = t +4y. dy dt = (t + 4y) ². Use the following initial condition: y(0) = 8. Note: Use arctan(x) for the inverse tangent function. y =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
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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Solve the separable differential equation for y by making the substitution u = t +4y. dy dt = (t + 4y) ². Use the following initial condition: y(0) = 8. Note: Use arctan(x) for the inverse tangent function. y =
Transcribed Image Text:Solve the separable differential equation for y by making the substitution u = t +4y. dy dt = (t + 4y) ². Use the following initial condition: y(0) = 8. Note: Use arctan(x) for the inverse tangent function. y =
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