The solution of the `DE (dy)/(dx) = 2 ^( x + y )` isA. ` 2 ^(x ) + 2^(y) = C `B. ` 2 ^(x) + 2 ^(-y) = C `C. `2 ^(x) - 2 ^(-y) = C `D. none of these

The solution of the `DE (dy)/(dx) = 2 ^( x + y )` isA. ` 2 ^(x ) + 2^(

1.	The solution of the `DE (dy)/(dx) = 2 ^( x + y )` isA. ` 2 ^(x ) + 2^(y) = C `B. ` 2 ^(x) + 2 ^(-y) = C `C. `2 ^(x) - 2 ^(-y) = C `D. none of these
Answer» Correct Answer - B We have ` 2 ^(x) dx = 2 ^(-y) dy rArr int 2^(x) dx = int 2 ^(-y) dy`. ` therefore 2 ^(x) log 2 = - 2 ^(-y) log 2 = log C rArr 2 ^(x) + 2 ^(-y) =C `, where ` (log C )/( log 2) = C.`