# How to solve Volterra's integral equation of second kind with numerical solution

The problem occurs to me when I tried to solve \begin{align}E(x)=1+2(1-x)^2\int_{x}^{1}(1-t)E\left(\frac{x}{t}\right)dt\end{align} with $E(1)=1$ and $\lim_{x\to 0^+}E(x) \to +\infty$.

I'd like to find $E(1/2)$.

But I have no idea how to solve it with Mathematica or Matlab.