$\"\"$

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(a)

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

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The solution of the differential equation follow the slope lines.

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Graph :

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Graph the differential equation $\"\"$ .

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Draw two solutions of the differential equations one passing through the point $\"\"$ .

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$\"\"$

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$\"\"$

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(b)

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The differential equation is $\"\"$ .

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$\"\"$

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Apply integral on each side.

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$\"\"$

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Integral of exponential function: $\"\"$ .

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$\"\"$

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$\"\"$ .

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One of the solution passes through the point $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in the function $\"\"$ .

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$\"\"$ .

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Here $\"\"$ .

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Graph :

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Graph the solution function $\"\"$ .

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$\"\"$ .

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Observe the two graphs.

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The solution curves passing through the point are looks alike.

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$\"\"$

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(a) Graph of the differential equation $\"\"$ and two solutions.

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$\"\"$

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(b) Graph of the solution function $\"\"$ .

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$\"\"$

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The solution curves passing through the point are looks alike.