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Question

The differential equation formed by eliminating parameters A and B from the family of curves given byy=Ae2x+Be2x will be of ___ order.

A
First
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B
Second
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C
Third
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D
None of the above
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Solution

The correct option is B Second
Here A and B are the two constants that need to be eliminated. For that we need 2 equations. That we can only get by differentiating the given function twice. So the resulting differential equation will be of second order.

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