Mathematics - Definite Integration Question with Solution | TestHub

Let f and g be function that are differentiable for all real numbers x and that have the following

properties:

(i) f '(x) = f(x) – g(x) ; (ii) g'(x) = g(x) – f(x) ; (iii) f(0) = 5 ; (iv) g(0) = 1