Functional Equation

Calculus Level 5

Given a function \(f :\mathbb{R} \rightarrow \mathbb{R}\) such that

\[f(x)=2014x+\int_{0}^{x} 2014^t f(x-t) \ dt,\]

find the value of \(f \left(\dfrac{1}{2}\right).\)

×

Problem Loading...

Note Loading...

Set Loading...