C) find the general solution to the above system of diff system of differential equations. (3 marks] d) find the particular solution to the above system ol initial conditions (0) = 2 and y(0) = 11. bove system of differential equations subject to the [2 marks] part b question 5 consider the polynomial q(x) = 4.3 +2++1. ise q(a) into its simplest real factors given that x = i is a con q(x) = 0. factors given that x = i is a complex solution of (4 marks] b) hence, compute the fol pute the following integral by resolving the integrand using the method of partial fractions. 3 - 2 j x3 + x2 +2+1 da [6 marks) question 6 a) solve the following second order differential equation, where y = y(w). y"+y+y=0 [3 marks] b) hence, solve the following second order differential equation, where y = y(x). y"+y+y= 22 - 7 [3 marks] c) hence, solve the following second order differential equation, where y = y"+y+y = 22 - 7 subject to the initial conditions y(0) = -9 and (0) = 1. (4 marks]