Compute the Wronskian of a set of functions

{y1,y2}={excos(x),exsin(x)}\displaystyle {\left\lbrace{y}_{{1}},{y}_{{2}}\right\rbrace}={\left\lbrace{e}^{{x}}{\cos{{\left(\sqrt{{{x}}}\right)}}},{e}^{{x}}{\sin{{\left(\sqrt{{{x}}}\right)}}}\right\rbrace}

W(x)=\displaystyle {W}{\left({x}\right)}=