$\"\"$

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

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$\"\"$

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Apply integration on both sides.

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$\"\"$

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$\"\"$ .

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Consider $\"\"$ .

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Formula for integration by parts : $\"\"$ .

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Consider $\"\"$ and $\"\"$ .

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$\"\"$

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

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$\"\"$ .

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Consider $\"\"$ .

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Apply integral on each side.

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$\"\"$

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$\"\"$ .

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$\"\"$

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Substitute the corresponding values in $\"\"$ .

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$\"\"$

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$\"\"$

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Again apply parts of integration.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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(a) Graph the function $\"\"$ for different value of $\"\"$ .

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For $\"\"$ , $\"\"$ .

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For $\"\"$ , $\"\"$ .

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$\"\"$

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$\"\"$

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(b)Find the value of $\"\"$ .

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

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$\"\"$

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

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The particular solution is $\"\"$ .

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Graph :

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Graph the particular solution $\"\"$ .

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$\"\"$

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$\"\"$

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(a) Graph of the differential equation $\"\"$ and Graph the function $\"\"$ for different value of $\"\"$ .

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For $\"\"$ , $\"\"$ .

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For $\"\"$ , $\"\"$ .

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$\"\"$

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(b) Graph of the particular solution $\"\"$ is

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$\"\"$ .