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The differential equation is $\"\"$ .

Slope field is $\"\"$

A direction field is graphical representation of the solutions of a first order differential equation.

Create a table to compute the slope at several values of $\"\"$ and $\"\"$ .

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Now draw the short line segments with their slopes at respective points.

The result is the direction field of the differential equation.

Graph the directional field of differential equation:

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Observe the table:

Now draw a solution curve so that it move parallel to the near by segments.

The resulting curve is solution curve which passes through different values.

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Note:

The curve in pink color is the solution curve passing through the differential equation.

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Directional field of differential equation $\"\"$ is

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Solution curve passing through the differential equation.

$\"\"$ .