ODE:https://1drv.ms/x/s!Ar5BCME5gBmkkB2s9T7hyi6f9BgA?e=7iR1QE

15. a) Verify that for any C the function y = Ce' +1+t is a solution of the differential equation y = y-t. Determine the value of C so that the solution satisfies the initial condition y(2) = 1. b) Using the file ode.xls determine approximately how many subintervals are needed using the Euler method and the modified Euler method in order to estimate to three decimal places the solution at t = 4 of the initial value problem in a). Show appropriate data (using the technique of Example 3.9) to support your