Answered: For the each of the four ODEs in…

For the each of the four ODEs in Problem 3, the general solution must involve a constant c. For each of the four equations, how does c affect the long term be- haviors of y(t) ast → ∞o?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...

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Question

ODE's =

y′ + 1/ty = 3 cos(2t), t > 0

ty′ − y = t^2e^−t, t > 0

y′(t)−2y(t)/t+2 =(t+2)^2,y(1)=18

For the each of the four ODEs in Problem 3, the general solution must
involve a constant c. For each of the four equations, how does c affect the long term be-
haviors of y(t) ast → ∞o?

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