1.

Write the general solution of differential equation `(dy)/(dx)=e^(x+y)`

Answer» `(dt)/(dx)=e^xe^y`
`rArr(dy)/(e^y) =e^xdx`
Integrating both sides
`rArr-e^(-y)+c=e^(x)`
`rArre^(x)+e^(-y)=c`


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