Question

Derive the differential equation that is satisfied by the family of curves:
y(x) = e^x + k

Answer 1

Would it simply be that y' = e^x?

Answer 2

The original equation is y = e^x + k (y is a function of x)

Answer 3

it is... the constant k will disappear

Answer 4

Ok I wanted to be clear because I thought a differential equation had to have y and at least one of its derivatives.. I guess not then

Answer 5

Thanks :)