Consider the first order differential equation et y'+ t-4 For each of the initial conditions below, determine the largest interval a

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Consider the first order differential equation
et
y'+
t
y =
12 – 9
t – 4"
For each of the initial conditions below, determine the largest interval a <t<b on which the existence and uniqueness theorem for first order linear differential
equations guarantees the existence of a unique solution.
a. y(-4) = -5.5.
help (inequalities)
b. y(-0.5) = -2.1.
help (inequalities)
c. y(0) = 0.
help (inequalities)
d. y(3.5) = -5.5.
help (inequalities)
е. у (9) — 1.7.
help (inequalities)
Transcribed Image Text:Consider the first order differential equation et y'+ t y = 12 – 9 t – 4" For each of the initial conditions below, determine the largest interval a <t<b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. a. y(-4) = -5.5. help (inequalities) b. y(-0.5) = -2.1. help (inequalities) c. y(0) = 0. help (inequalities) d. y(3.5) = -5.5. help (inequalities) е. у (9) — 1.7. help (inequalities)
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