Remix 4. Direction Fields/Phase Portraits. Use the given direction fields to plot solution curves to each of the given initial value problems. (a) x = x+2y y' = -3x+y with x(0) = 1, y(0) = -1 111 (b) Consider the initial value problem corresponding to the given phase portrait. x' = y y' =3x+2y Draw two "straight line solutions" passing through (0,0) (c) Make guesses for the equations of the straight line solutions: y = ax.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Remix
4. Direction Fields/Phase Portraits. Use the given direction fields to plot solution curves
to each of the given initial value problems.
(a)
x = x+2y
y' = -3x+y
with x(0) = 1, y(0) = -1
111
(b) Consider the initial value problem corresponding to the given phase portrait.
x' = y
y'
=3x+2y
Draw two "straight line solutions"
passing through (0,0)
(c) Make guesses for the equations of the straight line solutions: y = ax.
Transcribed Image Text:Remix 4. Direction Fields/Phase Portraits. Use the given direction fields to plot solution curves to each of the given initial value problems. (a) x = x+2y y' = -3x+y with x(0) = 1, y(0) = -1 111 (b) Consider the initial value problem corresponding to the given phase portrait. x' = y y' =3x+2y Draw two "straight line solutions" passing through (0,0) (c) Make guesses for the equations of the straight line solutions: y = ax.
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