Draw a direction field for the differential equation y' = -9+t – y. Based on the direction field, determine the behavior of y as t → 0. If this behavior depends on the initial value of y at t = 0, describe this dependency. %3D
Draw a direction field for the differential equation y' = -9+t – y. Based on the direction field, determine the behavior of y as t → 0. If this behavior depends on the initial value of y at t = 0, describe this dependency. %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The 2 pictures are the question and the choices of the answers

Transcribed Image Text:Draw a direction field for the differential equation y' = -9+t – y.
Based on the direction field, determine the behavior of y as t → 0o.
If this behavior depends on the initial value of y at t = 0, describe
this dependency.
The solutions Choose one ▼

Transcribed Image Text:navior
ndenc
Choose one
become asymptotic to the line y = t – 10
as t → o.
ions
аpproach -o.
approach -x, ∞, or oscillate depending
upon the value of y(0).
approach -o, 0, or o depending
upon the value of y(0).
approach -o or become asymptotic to the line
y = 10 depending upon the value of y(0).
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