Use the backward Euler method with h = 0.1 to find approximate values of the solution...
Need Help with solving for answers in Part C and Part D! Find approximate values of the solution of the given initial value problem at t = 0.1, 0.2, 0,3, and 0.4, (A COmputer algebra system is recommended. Round your answers to five decimal places.) (a) Use the Euler method with0.05 (0.11.5875 y(0.2)2.12747 y(0.3)2.62455 y(0.4)3.0829 (b) Use the Euler method with h0.025 y(0.1)1.58156 y(0.2)2.11675 (o.3)261 y(0.4)3.0654 (c) Use the backward Euler method with h 0.05 (0.2) y(0.3) y(0.4) (d) Use...
Find approximate values of the solution of the given initial value problem at T=0.1, 0.2, 0.3, and 0.4 using Euler method with h=0.1 y'= 0.5-t+2y ; y(o)=1
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.
Consider the following. (A computer algebra system is recommended. Round your answers to four decimal places.) y' = 3 cos t − 6y, y(0) = 0 Please solve all parts of d) the equation and the evaluation of y(0.1)~y(0.4) Consider the following. (A computer algebra system is recommended. Round your answers to four decimal places.) y 3 cos t - 6y, y(0)0 (a) Find approximate values of the solution of the given initial value problem at t 0.1, 0.2, 0.3,...
(a) Use Euler's Method with a step size h = 0.1 to approximate y(0.0), y(0.1), y(0.2), y(0.3), y(0.4), y(0.5) where y(x) is the solution of the initial-value problem ay = - y2 cos x, y(0) = 1. (b) Find and compute the exact value of y(0.5). dx
How do I approach this? 61. Use Euler's method to find approximate values for the solution of the initial value problem dy dx = I – Y y(0) 1 on the interval [0, 1] using a) five steps of size h = 0.2, and b) ten steps of size h = 0.1. Solve the initial – value problem and find the errors in the above calculations.
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...
Use Euler's method with step size 0.20.2 to compute the approximate yy-values y(0.2)y(0.2) and y(0.4)y(0.4), of the solution of the initial-value problem y'=−1−2x−2y, y(0)=−1 y(0.2)= , y(0.4)=
Use Improved Euler for first question, Runge- Katta for 2nd one. Thank you In each of Problems 7 through 12, find approximate values of the solution of the given initial value problem at t-0.5,1.0, 1.5, and 2.0 (a) Use the improved Euler method with h 0.025 (b) Use the improved Euler method with h-0.0125 In each of Problems 7 through 12, find approximate values of the solution of the given initial value problem at0.5,1.0, 1.5, and 2.0. Compare the results...