Hello, My Roll Number is CF-19041, so kindly use "a" and "b" accordingly. And Kindly provide the whole coding.

Thanks

1) Make sure to submit your assignment with in submission deadline, as mentioned above- The late submission will leads to 5 marks deduction from the total marks you obtained. 2) You can submit hand written assignment in hard copy. Draw all necessary diagrams. 3) Results must be quoted till 4 decimal places, 4) There will be no re-submission or second assignment or compensation- Therefore, submit your assignment as per instructions, 5) The submission must be done individually, However, group discussion is allowed, Problem denition: The numerical solution of ordinary differential equation (ODE) requires careful assessment of the accuracy of the method, which depends on the representation of the solution as well as the location of the slope computation- Usually, higher order accurate method requires more computation. This makes the method computationally.F involved. In this assignment, you are required to investigate the options available for the accuracy.F enhancement of the numerical method for initial value 011E- In this assignment, you are required to modify Four stage Range Kutta {ELK} method for proper choice of weighting coefcients {cl} and the location of slope computation i.e- parameters (3; and wt). \fTest Problem You have to test your modied coefficients on the following test problem only, dy _ (ll1) E _ (n+b) xy, Where 'a' is your roll number's (last two digits}, for example if roll number is AB-lQZl then a=21_ And 'b' is computed as followr based on your roll number, {Do not count year, for example ABE-1900? then roll numbeFDQT} 1.33, 001 5 roll number 5 085 l: = 1.23, 086 5 roll number 5 110 1.13 , 111 5 roll number . . . - . a You are required to obtain solution In the domain 0 5 x 5 :' bl The initial condition is 33(0) = T' The number of interval must be selected as per scalability test for you problem {see point 1' below}. Features in your solution and submission The following points must be incorporated in your nal submission. 1} Your method for the coefcients computation must be novel- 2) You have to use correct differential equation for all discussion and analysis. 3) You must present step by step and clearly written procedure of the coefcient computation of your problem- 4) Draw all necessary diagrams. 5) You must comment on each aspect of your nding and development. 6} For error computation root mean square calculation must be made for entire domain- T) Scalability must be tested for your proposed coefcient computation method. Use width of intervals h, hf2, hf4, M8 and hfl for any 'h' you have used. 3) Graph of error reduction must be shown for each 'h' used for scalability- 9} Submission of computer code is not mandatory- Mat Lab, Python or any other programming language may be used