Given the differential equation dy/dx=2xy; with the i.c., y(1)-1 Solve the equation to derive y(x) for x-1 to 1.5 using the (a) explicit, (b) implicit, (c) modified Euler, and the (d) predictor corrector method and compare to the (e) analytical solution. in a table, provide the absolute and relative errors of each of the numerical solutions at each x. Solve for step sizes of 0.1 and 0.05