The differential equation representing the family of curves $y = A e^{2 x} + B e^{- 2 x}$ will be a order differential equation.

first

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second

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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 which can be obtained by differentiating the given equation twice. Hence the resulting differential would be a second order differential equation.

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y = a e^{2 x} + b e^{- 2 x}

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A

B

y = a sin (λ x + α)

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