Use Euler's method with step size 0.25 to compute the approximate y-values 9₁, 92, 93, and y4 of the solution of the initial-value problem3/1 =3/2 =Y3 =Y₁ =y = 1+ 4x - 4y, y(1) = 2.

Given , Also given step size Euler's method to compute the approximate -values of the solution of…

Answered: Use Euler's method with step size 0.25…

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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4. Find the solution of the IVP y" - 4/ — 12y = 3e", y(0) = 18 =-=- y(0) 7,
Consider the initial-value problem y = x(y² - 1)¹/3 (y4 -8y)2/3, y(0) = yo, where yo is a real number. Which of the following values of yo does the problem have a unique solution? (i) -1 (ii) 0 (iii) 1 (iv) 2 (v) 3
Use Euler's method with step size 0.5 to compute the approximate y-values y(0.5) and y(1), of the solution of the initial-value problem y'= -2 - 4x + 4y, y(0) = 1. y(0.5) = y(1) =
6) Find the solution of the following IVP. Graph the solution. 2y" + y' +2y = 8(t – 5), y(0) = 0, y (0) = 0.
Use Euler's method with step size 0.5 to compute the approximate y-values Y₁, Y2, Y3 and y4 of the solution of the initial-value problem y' = y - 4x, y(3) = 0. Y1 = Y2 = Y3 = Y4= XX
A hand-held calculator will suffice for the Problem. The problem an initial value problem and its exact solution are given. Approximate the values of x(0.2) and y(0.2)in three ways: (a) by the Euler method with two steps of size h = 0.1; (b) by the improved Euler method with a single step of size h = 0.2; and (c) by the Runge–Kutta method with a single step of size h = 0.2. Compare the approximate values with the actual values x(0.2) and y(0.2). x' = x -2y, x(0) = 0, y' = 2x + y, y(0) = 4; x(t) = -4et sin 2t, y(t) = 4et cos 2t
Use Euler's method with step size h = 0.1 to approximate the solution to the initial value problem y'=2x-y², y(7) = 0, at the points x = 7.1, 7.2, 7.3, 7.4, and 7.5. The approximate solution to y'=2x-y², y(7)= 0, at the point x = 7.1 is (Round to five decimal places as needed.) x=7.2 is x=7.3 is x=>,4 is x = 7.5 is
Use Euler's method with step size 0.25 to compute the approximate y-values y1, Y2, Y3, and y4 of the solution of the initial-value problem y = -2 - 2x - 4y, y(1)= −1. 5 Y1 = Y2 = | Y3 = Y4=
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Use Euler's method with step size 0.25 to compute the approximate y-values 31, 32, 33, and 34 of the solution of the initial- value problem 3/1 = 3/2= y/3 = y₁ === y = 1+ 4z - 4y, y(1) = 2.