Question

If the derivative of a function f is twice the function find f

Answer 1

a/q

y ' = 2y ⇒ f ' (x) = 2 f(x) ⇒ f'(x) / f(x) = 2

integrating both sides

ln | f(x) | = 2x + c

f(x) = e ^ ( 2x + c)

hope this helps.