(3) Fine a general solution for the following first order differential equation (10 points).y'+5xy=2x(4) Find the area of the region bounded by the graphs of the following curves (15 points)y=x2,y=6-x(5) Find d2ydx2(10 points).x=t2+5,y=t2-5t(6) Verify that the following series diverges or converges and explain why?(15 points).(a)n=113+n2(b)n=1(-1)n1(n+2)2(7) Find the power series for f(x)=1x-2 centered at 0(10 points).(8) Find the radius of convergence and the center of the following series (10 points).n=0+xnn!