Question Number 111618 by mathdave last updated on 04/Sep/20
$${solve}\:{the}\:{fredholm}\:{integral}\:{equation}\:{of} \\ $$$${the}\:{second}\:{kind}\: \\ $$$${y}\left({x}\right)={x}+\lambda\int_{\mathrm{0}} ^{\mathrm{1}} \left({xt}^{\mathrm{2}} +{x}^{\mathrm{2}} {t}\right){y}\left({t}\right){dt} \\ $$