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Please have a clear hand writing :) Question Question 11 (2 marks) Special Attempt 1 (r+5 Consider the initial value pro...
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...
674%, y():1 nge- Consider the initial value problem: l- Using TWO(2) steps of the following explict third order Runge-Kutta scheme k1二hj(sn.yn). 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 674%, y():1 nge- Consider the initial value problem: l- Using...
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....
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 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 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...
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...
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...
Please have a clear hand writing :) Question Question 3 (2 marks) Special Attempt 1 Use three iterations of the secant method to find an approximate solution of the equation e-2.1x-5s-20 if your initial estimates are x0 3.65 and x1 3.9 Maintain at least eight digits throughout all your calculations. When entering your final result you MAY round your estimate to five decimal digit accuracy. For example 1.67353 YOU DO NOT HAVE TO ROUND YOUR FINAL ESTIMATE. X4= Skipped Question...
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...