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Solve: (dy)/(dx)=e^(x+y)...

Solve: `(dy)/(dx)=e^(x+y)`

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Given
`(dy)/(dx)=e^(x+ y)`
`implies(dy)/(dx)=e^(x)e^(y)`
`impliesint e^(−y)dy=int e^(x)dx`
`implies-e^(−y)=e^(x)+c`
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