$\"\"$

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

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Slope field is $\"\"$ .

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

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(a)

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Graph :

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Graph of differential equation and two approximate solutions:

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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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Trigonometric identity: $\"\"$ .

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$\"\"$

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$\"\"$ .

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Integrate on each side.

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$\"\"$

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Solution fuction of the differential equation is $\"\"$ .

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Substitute the point $\"\"$ in above solution to find the $\"\"$ value.

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$\"\"$

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Substitute $\"\"$ in solution function.

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$\"\"$ .

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Graph:

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Graph the solution function $\"\"$ .

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$\"\"$

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$\"\"$

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(a)

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Graph of the differential equation and two approximate solutions is

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$\"\"$

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(b)

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Graph of the solutions $\"\"$ is

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$\"\"$