$\"\"$

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The diffrential equation is $\"\"$ .

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The general solution is $\"\"$ .

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The particular solutions of $\"\"$ are $\"\"$ .

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Draw the graphs for different values of $\"\"$ .

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$\"\"$

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(1).Draw the Coordinate plane.

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(2).Graph the function $\"\"$ .

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Graph :

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$\"\"$

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Observe the graph :

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The graph obtained when $\"\"$ is in origin.

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$\"\"$

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(1).Draw the Coordinate plane.

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(2).Graph the function $\"\"$ .

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Graph :

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$\"\"$

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Observe the graph :

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The graph obtained when $\"\"$ is an ellipse.

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$\"\"$

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(1).Draw the Coordinate plane.

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(2).Graph the function $\"\"$ .

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Graph :

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$\"\"$

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Observe the graph :

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The graph obtained when $\"\"$ is an ellipse.

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$\"\"$

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Particular solutions :

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When $\"\"$ ,the graph is in origin.

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When $\"\"$ , the graph is an ellipse.

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When $\"\"$ , the graph is an ellipse.