Question

solve the differential equation e^(x-y)dy=-dx

Answer 1

integrate both sides

- e^(x-y) = -x +C
e^(x-y) = x -C
e^(x-y) = x +D ( where D is a different constant )

therefore (x-y) = ln(x+D)

so y= x - ln(x+D) for a constant D