The differential equation formed by eliminating parameters A and B from the family of curves given by $y = A e^{2 x} + B e^{- 2 x}$ will be of ___ order.

First

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Second

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Third

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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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Similar questions

Q. The differential equation formed by eliminating parameters A and B from the family of curves given by

y = A e^{2 x} + B e^{- 2 x}

will be of ___ order.

Q. The differential equation representing the family of curves

y = A e^{2 x} + B e^{- 2 x}

will be a order differential equation.

Q. Form the differential equation representing the family of curves

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The differential equation formed by eliminating parameters A and B from the family of curves given byy=Ae2x+Be−2x will be of ___ order.

The correct option is B SecondHere 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.

The differential equation formed by eliminating parameters A and B from the family of curves given by $y = A e^{2 x} + B e^{- 2 x}$ will be of ___ order.

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.