Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the initial-value problemy=-xy,y(1) = 0.1. Estimate y(1.4) with a step size h = 0.2.Answer: y(1.4)2. Estimate y(1.4) with a step size h = 0.1.Answer: y(1.4)

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Answered: Use Euler's method with the given step…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve the initial value problem, and graph the solution function x(t). x" + 4x + 4x = 1 +8(t-7); x(0)=x'(0) = 0 Write the solution to the initial value problem. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) OA. X(t)=. O c. x(t)=. ift ift # if t =
Use Euler's method to approximate y(1.0). Start with step size h = 0.1, and then use successively smaller step sizes (h= 0.01, 0.001, 0.0001, etc.) until successive approximate solution values at x = 1.0 agree rounded off to two decimal places. y' = x² + y² -1, y(0) = 0 The approximate solution values at x = 1.0 begin to agree rounded off to two decimal places between is (Type an integer or decimal rounded to two decimal places as needed.) So, a good approximation of y(1.0) h = 0.001 and h = 0.0001. h = 0.1 and h=0.01. h = 0.01 and h = 0.001.
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Apply the improved Euler method to approximate the solution on the interval [0, 0.5] with step size h= 0.1. Construct a table showing values of the approximate solution and the actual solution at the points x 0.1, 0.2, 0.3, 0.4, 0.5. y =y-x-3, y(0) = 1; y(x) = 4 +x-3 e* Complete the table below. (Round to four decimal places as needed.) 0.1 0.2 0.3 0.4 0.5 Actual, y (Xn) Improved Euler, yn
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Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the initial-value problem v=z-ay, y(1) = 0. 1. Estimate y(1.4) with a step size h = 0.2. Answer: y(1.4) 2. Estimate y(1.4) with a step size h = 0.1. Answer: y(1.4)