Find the general solution of each of the following differential equations:
`(dy)/(dx)=e^(x+y)+e^(x-y)`

Answer

`tan^(-1)(e^(y))=e^(x)+C`

Explanation

`int(e^(y))/((e^(2y)+1))dy =int e^(x)dx rArr int (dt)/((t^(2)+1))=e^(x)+C." where " e^(y)=t`
`rArr tan^(-1)(t)=e^(x)+C rArr tan^(-1)(e^(y))=e^(x)+C.`