a) (i) b) (1) (ii) (iii) (iv) (v) (vi) c) (i) (iii) (iv) (v) (vi) d) (i) (ii) (iii) (iv) (v) (vi) Differentiate between the following terms Homogenous and non-homogenous differential equations A first order differential equation and a first order difference equation Find the general and definite solutions of the first order differential equations dy/dt +2y=2 y(0)=7 dy/dt - 9y=10 dy/dt+y=5 dy/dt + 4y= 1/3 dy/dt + 3y=-3 dy/dt+y=0 Find the integrals of the following functions [10x(x +2)/5 dx y(0)=11 y(0)=1/5 y(0)=9 y(0)=12 y(0)=7 f(lnx) dx [x(x + 1) dx [xInx dx (20x+6x)/(x20+ 3x + 100) dx [5xe* dx Find the general and definite solutions of the first order difference equations Y + 3Y,= 11 Y =4 Y+Y=9 Y+0.5Y 6 Y+Y = -0.2Y, Y-5Y-11 Y-2Y--7Y, +10. Yo=14 Yo =2 Yo=10 Yo=18 Yo=30