A differential equation is an equation in which some function is related to its own derivative(s). For
each of the following functions, calculate the appropriate derivative, and show that the function
satisfies the indicated differential equation
(a) f(x) = 2e^(−3x), f^1(x) = −3*f(x)
(b) f(t) = Ce^kt, f^1(t) = k*f(t)
(c) f(t) = 1 − e^(−t), f^1(t) = 1 − f(t)