How do you plot the slope field for the differential equation dy/dx=xy?

Answer 1

See below.

The stream plot for

#xy dx-dy=0# gives

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Answer 2

To plot the slope field for the differential equation dy/dx = xy, you follow these steps:

  1. Choose a grid of points in the xy-plane.
  2. At each point (x, y) in the grid, calculate the value of dy/dx using the equation dy/dx = xy.
  3. Draw a short line segment with slope equal to the calculated value of dy/dx at each point (x, y) on the grid.

Repeat these steps for various points in the xy-plane to create a visual representation of the slope field for the given differential equation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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