$e^{x - y} d x + e^{^{y - x}} d y = 0$
Solve the differential equations.

e^{2 x} + e^{2 y} = k

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e^{- 2 x} + e^{- 2 y} = k

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e^{- 2 x} + e^{- 2 y} = - k

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e^{2 x} + e^{2 y} = - k

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Solution

The correct options are
A $e^{2 x} + e^{2 y} = k$
D $e^{2 x} + e^{2 y} = - k$
$e^{x - y} d x + e^{^{y - x}} d y = 0$
Multiplying by $e^{x + y}$
$\Rightarrow e^{2 x} d x + e^{2 y} d y = 0$
Now integrating we get, $e^{2 x} + e^{2 y} = k$

Suggest Corrections

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