Question

1- Use Heun’s method without iteration to solve

?2???2−0.5?+?=0

y(0) = 2 and y’(0) = 0 solve from x = 0 to 3 using h = 0.2 (step size) present y values as a table versus x values (50p)

Instructions about question 1: considering step size and interval for x it will not be reasonable to proceed through hand calculations. You may want to use excel or other software but you need to write down first 3 steps of the calculations (obtain y(0.2), y(0.4) and y(0.6) ) in detail showing all calculations. Rest of the y values can be calculated using a software and tabulated (this is valid for hand calculations too provide calculations for first 3 steps and present the values as a table). You need to provide the code or excel file for the software that you used for calculation.......please sir (with explanation,step by step and calculation)please sir must

Answer 1

Excel file: https://1drv.ms/x/s!AlZDHOqMWSRij0p17GjTYVyzW9yd?e=uEInBw