Define the following terms citing appropriate examples a) (i) A Solution of a differential equation ii) A Homogeneous equation ii) A linear differential equation ivAconstant coefficie it egation v) Characterize the solution of a differential equation (5 marks) b) Given the initial value prohlemy" 2y' - 8y = 0,y(0) = 2,y*(0) 0 with y1 (x) = e* cos 7x and y, (x) = -* sin v 7x %3D %3D %3D %3D i) Verify that y, O and y,00 are solutions of the differential equation (3 marks) ii) Show that their wronskian is not zero (3 marks) ili) Write the general solution of the differential equation (3marks) Iv) Find the solution of the initial value probiems (32 marks) QUESTION 2 a) Define the following citing appropriate examples ) Singular no'nt i) Regular singular Po'nt ili) Ordinary Point iv) Irregular Singular Point (4 marks)