1. Eulers method is a numerical method for generating a table of values (xi yi) that approximate the solution of the differential equation y = f(xy) with boundary condition y(xo) = yo. The first entry in the table is the starting point (xo yo.). Given the entry (xi yi ) then entry (xi+1 yi+1) is obtained using the formula xi+1 = xi + x and yi+1 = yi + xf(xi yi ). Where h is the small value called step size. Use Eulers method to estimate the value of y when x = 2.5 for the solution of the differential equation y = x + 3y/x with the boundary condition y(1) = 1. Take x = 0.1 the exact solution of this differential equation is y = 2×3 x2. Compare your approximation values with the exact value. 2. Twin primes are two primes that differ by 2 (e.g. 3 and 5 101 and 103). Write a program that outputs all twin primes less than 1000 and the total count to a data file.