4) For parts a) and b) consider the differential equation dy 32+ 2y = 1 dt a) Verify y(e) =+ ce, CER isa solution. b) Find a solution y(t) to the differential equation such that y(0) = . c) Below is a differential equation that models a falling object under air resistance. dv k dt m Use a phase portrait to compute the limit, where v(t) is a solution to the equation and v(0) = 0. lim v(t)
4) For parts a) and b) consider the differential equation dy 32+ 2y = 1 dt a) Verify y(e) =+ ce, CER isa solution. b) Find a solution y(t) to the differential equation such that y(0) = . c) Below is a differential equation that models a falling object under air resistance. dv k dt m Use a phase portrait to compute the limit, where v(t) is a solution to the equation and v(0) = 0. lim v(t)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Transcribed Image Text:4) For parts a) and b) consider the differential equation
dy
3+ 2y = 1
dt
a) Verify y(t) =+ ce, ceR is a solution.
b) Find a solution y(t) to the differential equation such that y(0) = .
c) Below is a differential equation that models a falling object under air resistance.
dv
k
dt
Use a phase portrait to compute the limit, where v(t) is a solution to the equation and v(0) = 0.
lim v(t)
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