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(a)

The differential equation is $\"\"$ and point is $\"\"$ .

Slope of the field is $\"\"$ .

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

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

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

The result is the direction field of the differential equation.

Graph the slope field of differential equation :

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(b)

Observe the table:

The slope of the differential equation at point $\"\"$ is $\"\"$ .

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

The resulting curve is solution curve which passes through $\"\"$ .

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(c)

Observe the graph of the solution function :

As $\"\"$ tends to $\"\"$ , the function $\"\"$ approaches to $\"\"$ .

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(a)

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

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(b)

Solution curve passing through $\"\"$ is

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(c)

As $\"\"$ tends to $\"\"$ , the function $\"\"$ approaches to $\"\"$ .