b) Find the general and definite solutions of the first order differential equations (i) dy/dt +2y=2 y(0)=7 dy/dt - 9y=10 y(0)=11 dy/dt+y=5 y(0)=1/5 dy/dt+4y= 1/3 y(0) = 9 dy/dt +3y=-3 y(0)=12 (vi) dy/dt+y=0 y(0)=7 c) Find the integrals of the following functions (i) J10x(x+2)/dx (ii) f(lnx) dx (iii) Jx(x+1) dx (iv) xlnxdx 3 (vi) (20x+6x)/(x2+3x + 100) dx I 5xe dx Find the general and definite solutions of the first order difference equations Y+3Y, 11 Yo -4 Y+Y=9 Yo=14 Y+0.5Y=6 (iv) Y+Y,= -0.2Y, Yo=2 33 Y-5Y=11 Yo=10 (vi) Y-2Y-7Y, +10 Yo=18 Yo=30