Question

7. Find all functions f:R\{0,1} → R, such that
х
f(x)+2f
x-1)​

Answer 1

Answer:

Let f[0, 1] -> R (the set of all real numbers be a function.Suppose the function f is twice differentiable, f(0) = f(1) = 0,and satisfies f'(x) – 2f'(x) + f(x) leq e^x, x in [0, 1].Which of the following is true for 0 lt x lt 1 ?