How do you sketch a vector field in R² given by a function F(x,y) ? O Typically you look at a grid and at each point on the grid on the plane you draw a very small vector in the direction given by the function F(x, y), You draw vectors like crazy on a grid on the plane You look at the function F(x, y) and then you decide a random point on the plane where you will place these vectors, typically you draw vectors long as if they were very small you will be unable to see them. At each point in R², you assign an arbitrary vector.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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How do you sketch a vector field in R? given by a function F(x, y) ?
Typically you look at a grid and at each point on the grid on the plane you draw a very small vector in the direction given by the function F(x, y).
You draw vectors like crazy on a grid on the plane
You look at the function F(x, y) and then you decide a random point on the plane where you will place these vectors, typically you draw vectors long as if they were very
small you will be unable to see them.
At each point in R², you assign an arbitrary vector.
Transcribed Image Text:How do you sketch a vector field in R? given by a function F(x, y) ? Typically you look at a grid and at each point on the grid on the plane you draw a very small vector in the direction given by the function F(x, y). You draw vectors like crazy on a grid on the plane You look at the function F(x, y) and then you decide a random point on the plane where you will place these vectors, typically you draw vectors long as if they were very small you will be unable to see them. At each point in R², you assign an arbitrary vector.
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