Form a differential equation represent family of curve given by $y= (c_1+c_2) -\sin (x+c_3)-c_4 e^{x+c_5}$

Question

$(a)\;y''-2y'''-3y'+y=0 \\ (b)\;y'''-y''-y+y'=0\\ (c)\;y''-y'''-y'+y=0\\ (d)\;y'-y+y'''+y''=0$