a). Find the general solution for the differential equations given below. If an initial condition is given, find also the corresponding particular solution. Clearly state which method you are using. i). y'sin 2xx = xy cos 2xx. ii). y'cosx+ (3y-1)secx =0, y(0)=0. 16e -3x 1li). y "+6y'+9y = x- +1' iv ) . xy"-3x y "+ 6xy'-6y=x* Inx. V ). y"-3y"+3y'-y=e'-x-1. vi). y'txy=>'. [5+ 5 + 5+ 5 + 5+ 5 = 30 marks]