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Vector Fields Slope fields are a convenient way to visualize solutions to a single differential equation. For systems of autonomous differential equations the equivalent representation is a vector field. Similar to a slope field, a vector field shows a selection of vectors with the correct slope but with a normalized length, for visualizing the solution in the phase plane. 6. On the xy-grid (phase plane) below, plot by hand a vector field for the system of differential equations dx = y - x dt dy = -y dt and sketch in several solution graphs in the phase plane. 2 -1 2 -1 -2

Vector Fields Slope fields are a convenient way to visualize solutions to a single differential equation. For systems of autonomous differential equations the equivalent representation is a vector field. Similar to a slope field, a vector field shows a selection of vectors with the correct slope but with a normalized length, for visualizing the solution in the phase plane. 6. On the xy-grid (phase plane) below, plot by hand a vector field for the system of differential equations dx = y - x dt dy = -y dt and sketch in several solution graphs in the phase plane. 2 -1 2 -1 -2

Advanced Engineering Mathematics
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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please help draw the vector field (NOT SLOPE FIELD) and solution graphs 

Vector Fields Slope fields are a convenient way to visualize solutions to a single differential equation. For systems of autonomous differential equations the equivalent representation is a vector field. Similar to a slope field, a vector field shows a selection of vectors with the correct slope but with a normalized length, for visualizing the solution in the phase plane. 6. On the xy-grid (phase plane) below, plot by hand a vector field for the system of differential equations dx = y – x dt dy = -y dt and sketch in several solution graphs in the phase plane. 3 2 1 -3 -2 -1 1 -1 -2
Transcribed Image Text:Vector Fields Slope fields are a convenient way to visualize solutions to a single differential equation. For systems of autonomous differential equations the equivalent representation is a vector field. Similar to a slope field, a vector field shows a selection of vectors with the correct slope but with a normalized length, for visualizing the solution in the phase plane. 6. On the xy-grid (phase plane) below, plot by hand a vector field for the system of differential equations dx = y – x dt dy = -y dt and sketch in several solution graphs in the phase plane. 3 2 1 -3 -2 -1 1 -1 -2
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