$\"\"$

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The solution of the differential equation is $\"\"$ .

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(a) Show that the differential equation is $\"\"$ .

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$\"\"$

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$ .

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The differential equation is $\"\"$ .

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$\"\"$

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(b)

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Graph the family of equations $\"\"$ to $\"\"$ :

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$\"\"$

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$\"\"$

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(c) Find the solution of the differential equation satisfies the initial condition $\"\"$ .

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The solution of the differential equation is $\"\"$ .

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The initial condition is $\"\"$ .

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

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$\"\"$

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$\"\"$ .

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

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$\"\"$ .

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$\"\"$

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(d) Find the solution of the differential equation satisfies the initial condition $\"\"$ .

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The solution of the differential equation is $\"\"$ .

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The initial condition is $\"\"$ .

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

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$\"\"$

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$\"\"$

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$\"\"$ .

\

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

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$\"\"$ .

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$\"\"$

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(a) The differential equation is $\"\"$ .

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(b) Graph of the family of equations $\"\"$ to $\"\"$ $\"\"$ .

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$\"\"$

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(c) $\"\"$ .

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(d) $\"\"$ .