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...


please help draw thevector field (NOT SLOPE FIELD) and solution graphs


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

Extracted 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

Jun 04, 2022
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