674%, y():1 nge- Consider the initial value problem: l- Using TWO(2) steps of the following expli...
Question 11 (2 marks) Special Attempt 2 I value problem: y'4y+3 Consider the initial value problem: y'-43 Using TWO(2) steps of the following explict third order Runge-Kutta scheme 1hyn 2 obtain an approximate solution to the initial value problem at x 0.04. Maintain at least eight decimal digit accuracy throughout all your calculations. You may express your answer as a single five decimal digit number, for example 17.18263. YOU DO NOT HAVE TO ROUND YOUR FINAL ESTIMATE. y(0.04) Skipped Question...
the answer should be as computer answer Consider the initial value problem: y' = 842+ y(0)=5. (y+5) Using TWO(2) steps of the following explict third order Runge-Kutta scheme ki = hf(nyn), k2 = hf(n+ihgyn+şkı), k3 = hf(en+h,yn+şk2), Yn+1 = yn +4(k1+3k3), obtain an approximate solution to the initial value problem at x = 0.6 Maintain at least eight decimal digit accuracy throughout all your calculations. You may express your answer as a single five decimal digit number, for example 17.18263....
Please have a clear hand writing :) Question Question 11 (2 marks) Special Attempt 1 (r+5 Consider the initial value problem: u'ー(EN) e-2x· y(0)=5. Using TWO(2) steps of the following explict third order Runge-Kutta scheme k3), 7t obtain an approximate solution to the initial value problem at x 0.2 Maintain at least eight decimal digit accuracy throughout all your calculations You may express your answer as a single five decimal digit number, for example 17.18263. YOU DO NOT HAVE TO...
Question 5 (1 mark) Attempt 1 Consider the initial value problem: y'= 4.0(1+42), y(1 Using one step of the following explict third order Runge-Kutta scheme ki = hf (Toniyn), k2 = hf(son+zh,yn+şkı), k3 = hf(antih,yn+şka), Yn+1 = yn+(k1+3kz), obtain an approximate solution to the initial value problem at x = 1.03. Maintain at least eight decimal digit accuracy throughout all your calculations. You may express your answer as a single five decimal digit number, for example 17.18263. YOU DO NOT...
Please find y(1.4) Question Question 12 (3 marks) Special Attempt 1 A system of two first order differential equations can be written as A second order explicit Runge-Kutta scheme for the system of two first order equations is k1hn,un,vn), un+1 Consider the following second order differential equation d-y + 2 y-9y with y(1) and y'(1) 4 1. , Use the Runge-kutta scheme to find an approximate solution of the second order differential equation, at x-1.4, if the step size h...
A system of two first order differential equations can be written as 0 dc A second order explicit Runge-Kutta scheme for the system of two first order equations is Consider the following second order differential equation 7+4zy 4, with y(1)-1 and y'(1)--1. Use the Runge-kutta scheme to find an approximate solution of the second order differential equation, at x = 1.2, if the step size h Maintain at least eight decimal digit accuracy throughout all your calculations You may express...
Question Question 9 (2 marks) Attempt 1 Consider the initial value problem: v=2x2+5 y(1) = 3. Using Euler's method: yn+1 =y, thyn n+1 = In th, with step-size h = 0.5, obtain an approximate solution to the initial value problem at x = 2. Maintain at least eight decimal digit accuracy throughout all calculations. You may express your answer as a five decimal digit number, for example 6.27181 YOU DO NOT HAVE TO ROUND YOUR FINAL ESTIMATE. Estimate at x...
Please have a clear hand writing :) Question Question 12 (3 marks) Special Attempt 1 A system of two first order differential equations can be written as A second order explicit Runge-Kutta scheme for the system of two first order equations is n+l Vn +12 Consider the following second order differential equation 4 d9-' with y(1)-4 and y'(1)-1 a.n Use the Runge-kutta scheme to find an approximate solution of the second order differential equation, at x = 1.4, if the...
Please have a clear hand writing :) Question Question 9 (2 marks) Special Attempt 1 y(0) 3. Consider the initial value problem: l Using Euler's method: yn+1ynthy n+1tn+h, with step-size h 0.05, obtain an approximate solution to the initial value problem at x- 0.1 Maintain at least eight decimal digit accuracy throughout all calculations You may express your answer as a five decimal digit number; for example 6.27181. YOU DO NOT HAVE TO ROUND YOUR FINAL ESTIMATE Estimate at x0.1...
Question 12 (3 marks) Special Attempt 2 A system of two first order differential equations can be written as 0 dr A second order explicit Runge-Kutta scheme for the system of two first order equations is 1hg(n,un,vn), un+1 Consider the following second order differential equation d2 0cy-6, with v(1)-1 and y'()-o Use the Runge-kutta scheme to find an approximate solution of the second order differential equation, at x = 1.2, if the step size h Maintain at least eight decimal...