Use Taylor's method of order two to approximate the solutions for each of the following initial-value...
2. Use the Taylor's method of order two to approximate the solution to the following initial-value problem y's et-y,0 < t < 1, y (0)-1, with h-0.5 2. Use the Taylor's method of order two to approximate the solution to the following initial-value problem y's et-y,0
Use Taylor's second order method to approximate the solution. y'=-5y+5t^(2)+2t, 0 ≤ t ≤ 1, y(0) = 1/3,with h = 0.1 Also, compare relative errors if the actual solution is: y=t^(2) + 1/3 * e^(-5t)
3. Use the Modified Euler method(explicit and implicit) and Midpoint methods to approxi mate the solutions to each of the following initial-value problems, and compare the results. (a) te - 2y, 0t1, y(0) = 0, h = 0.5 (b) 1y/t, 1 <t < 2, y(0)= 0, h 0.25 3. Use the Modified Euler method(explicit and implicit) and Midpoint methods to approxi mate the solutions to each of the following initial-value problems, and compare the results. (a) te - 2y, 0t1,...
1. Use all the Adams-Bashforth Fourth Step Explicit Method to approximate the solutions to the follow- ing initial-value problems. In each case, use exact starting values and compare the results to the actual values. V = 1+ ( - ), 2 st S3, y(2) = 1, h=0.2 and compare the solution with the exact solution: y(t) = ++
Use the modified Euler method to find approximate solution of the following initial- value problem y' -Sy + 16t + 2, ost-1, y(0)-2. Write down the scheme and find the approximate values for h 0.2. Don't use the code.
4. (Matlal) attatimient) Consider the initial valle probleni 1<t< 2 y(1) 1 Caleulate the approximate solutions using forward Euler method, two stage and four stage Runge Kutta method with h 1/10, 1/20,1/40 and compute the maximum errors between the exact solution and the approximate solutions. Use this maximum error to verify the convergence order of each method (1, 2, and 1). Note: the exact solution is
a use Euler's method with each of the following step sizes to estimate the value of y 0.4 where y is the solution of the initial value problem y -y, y 0 3 カー0.4 0.4) (i) y10.4) (in) h= 0.1 b we know that the exact solution of the initial value problem n part a s yー3e ra , as accurately as you can the graph of y e r 4 together with the Euler approximations using the step sizes...
3. Euler's Method (a) Use Euler's Method with step size At = 1 to approximate values of y(2),3(3), 3(1) for the function y(t) that is a solution to the initial value problem y = 12 - y(1) = 3 (b) Use Euler's Method with step size At = 1/2 to approximate y(6) for the function y(t) that is a solution to the initial value problem y = 4y (3) (c) Use Euler's Method with step size At = 1 to...
Use Euler's method with step size h = 0.2 to approximate the solution to the initial value problem at the points x = 4.2, 4.4, 4.6, and 4.8. y = {(V2+y),y(4)=1 Complete the table using Euler's method. xn Euler's Method 4.2 4.4 n 1 2 2 3 4.6 4 4.8 (Round to two decimal places as needed.)
I need the visual basic code that is supposed to be typed through excel o Solve the following initial value problems with your VBA code over the interval from t 0 to 2 where y(0)1. o Graph the results from each solution method on the same graph. Analytically Euler's method with h 0.5 and h 0.25 Huen's method with h 0.5 and h 0.25 Fourth-order RK with h 0.5 o Solve the following initial value problems with your VBA code...