4. For each of the following systems of differential equations, find the general solution and then sketch the phase portrait (i.e. graphs of solutions viewed in the phase plane) without using technology. = (a) = 2x+y x + y = -4x-2y (b) = -x-3y Y € || (g) = = || || = 4x - 2y -2x+y 2x 2y (h) = -4x - y -3x-y 6x + y dx = 4x + 2y (c) * = x + 3y = Y (f) = 2x - Y
4. For each of the following systems of differential equations, find the general solution and then sketch the phase portrait (i.e. graphs of solutions viewed in the phase plane) without using technology. = (a) = 2x+y x + y = -4x-2y (b) = -x-3y Y € || (g) = = || || = 4x - 2y -2x+y 2x 2y (h) = -4x - y -3x-y 6x + y dx = 4x + 2y (c) * = x + 3y = Y (f) = 2x - Y
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
Question
Just 4b please! Diff eq
Transcribed Image Text:4. For each of the following systems of differential equations, find the general solution and then sketch
the phase portrait (i.e. graphs of solutions viewed in the phase plane) without using technology.
=
(a)
=
2x+y
x + y
=
-4x-2y
(b)
=
-x-3y
Y
€
||
(g)
=
=
|| ||
=
4x - 2y
-2x+y
2x
2y
(h)
=
-4x - y
-3x-y
6x + y
dx
= 4x + 2y
(c)
*
= x + 3y
=
Y
(f)
=
2x - Y
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