Let $f(x) = \int\limits_0^x {{e^t}f(t)dt + {e^x}} $ be a differentiable function for all x$\in$R. Then f(x) equals :

Question

${e^{({e^{x - 1}})}}$

$2{e^{{e^x}}} - 1$

$2{e^{{e^x} - 1}} - 1$

${e^{{e^x}}} - 1$

Please login to view the detailed solution steps...