Answer the fallowing questions/or the differential equations of Problems, using the direction fields given as a guide.
Question:
(a) Are there any constant solutions? If so, what are they?
(b) Are there points at which the DE is not defined? How do solutions behave near these points?
(c) Are there any straight line solutions? If so, what are they?
(d) What can be said about the concavity of solutions?
(e) What is the long-term forward behavior of solutions as t ?
(f) Where do solutions come from? Look at the long-term backward behavior of solutions as t -.
(g) Do you see asymptotes or periodic solutions?
1. y' =t+y
2. y' = y-t / y+t
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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