I have an integral equations of the form
$ \int s R(s) =s f(s)-\int f(s)ds \tag 1$
Can we solve this integral equation for $f(s)$ interms of $s,R(s)$ ? Means $R(s)=\psi(s,R(s))$ (with out integral equation symbols, a closed form )
$R(s)= -\frac{1}{4}(e^{-is}-e^{is})^2e^{\frac{4i(e^{-is}-e^{is})}{(e^{-is}+e^{is})^2}} \tag2$ where i is imaginary notation