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The solution of the DE (dy)/(dx) = e ^...

The solution of the `DE (dy)/(dx) = e ^( x+ y )` is

A

` e ^(x) + e^(y) =C `

B

` e ^(x) - e ^(-y) = C `

C

`e ^(x) + e ^(-y) = C `

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
The given DE is ` e ^(x)dx = e ^(-y) dy `.
`therefore int e ^(x) dx = int e ^(-y) dy rArr e ^(x) = - e^(-y) + C rArr e ^(x) + e ^(-y) = C `.
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Knowledge Check

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    A
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    B
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