Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
The exact solution can also be found for the linear equation. Write the answer as a function of . с y(x) = x-1+- Thus the actual value of the function at the point x = 1.1 is y(1.1) =

The exact solution can also be found for the linear equation. Write the answer as a function of . с y(x) = x-1+- Thus the actual value of the function at the point x = 1.1 is y(1.1) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

In this question, I was almost done but I am stuck

I need helping finding this part of the problem 

 

The exact solution can also be found for the linear equation. Write the answer as a function of . C y(x) = x-1+ Thus the actual value of the function at the point x = 1.1 is y(1.1) =
Transcribed Image Text:The exact solution can also be found for the linear equation. Write the answer as a function of . C y(x) = x-1+ Thus the actual value of the function at the point x = 1.1 is y(1.1) =
Suppose that we use the Improved Euler's method to approximate the solution to the differential equation dy da y(0.1) = 6. = x - ly; Let f(x, y) = x-ly. We leto = 0.1 and yo = 6 and pick a step size h = 0.25. The improved Euler method is the the following algorithm. From (syn), our approximation to the solution of the differential equation at the n-th stage, we find the next stage by computing the x-step +1 = ïn +h, and then k₁, the slope at (n. Yn). The predicted new value of the solution is n+1 = yn + h · k₁. Then we find the slope at the predicted new point k₂ = f(n+1, %n+1) and get the corrected point by averaging slopes h Yn+1 = Yn+(k₁ +k₂). Complete the following table: In In Yn k₁ -5.9 k₂ -4.175 0 0.1 6 1 0.35 4.740625 -4.390625 -3.04296875 0.6 3.811425781 -3.211425781 3.008569336 -2.158569336 3 0.85 3.140176391 -2.290176391 2.567632293 -1.467632293 1.1 2.670450306 Zn+1 4.525 3.64296875
Transcribed Image Text:Suppose that we use the Improved Euler's method to approximate the solution to the differential equation dy da y(0.1) = 6. = x - ly; Let f(x, y) = x-ly. We leto = 0.1 and yo = 6 and pick a step size h = 0.25. The improved Euler method is the the following algorithm. From (syn), our approximation to the solution of the differential equation at the n-th stage, we find the next stage by computing the x-step +1 = ïn +h, and then k₁, the slope at (n. Yn). The predicted new value of the solution is n+1 = yn + h · k₁. Then we find the slope at the predicted new point k₂ = f(n+1, %n+1) and get the corrected point by averaging slopes h Yn+1 = Yn+(k₁ +k₂). Complete the following table: In In Yn k₁ -5.9 k₂ -4.175 0 0.1 6 1 0.35 4.740625 -4.390625 -3.04296875 0.6 3.811425781 -3.211425781 3.008569336 -2.158569336 3 0.85 3.140176391 -2.290176391 2.567632293 -1.467632293 1.1 2.670450306 Zn+1 4.525 3.64296875
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS