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Get Full Access to Numerical Analysis - 10 Edition - Chapter 11.4 - Problem 3
Get Full Access to Numerical Analysis - 10 Edition - Chapter 11.4 - Problem 3

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# Use the Nonlinear Finite-Difference Algorithm with TOL = 10 4 to approximate the ISBN: 9781305253667 457

## Solution for problem 3 Chapter 11.4

Numerical Analysis | 10th Edition

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Problem 3

Use the Nonlinear Finite-Difference Algorithm with TOL = 10 4 to approximate the solution to the following boundary-value problems. The actual solution is given for comparison to your results. a. y" = e~2y , 1 < x < 2, y(l) = 0, ^(2) = In2; use A = 9; actual solution >'(x) = Inx. b. y" = y'cosx - ylny, 0 < x < |, y(0) = \, y (y) = e: use N = 9; actual solution y(x) = c sin - , . c. y" = - (2(y')3 + y 2 y') secx, | < x < |, y (|) = 2-] '\ y (|) = ^12; use A = 4; actual solution y(x) Vsinx. d. y" = i (l (y')2 - y sinx) , 0 < x < tt, y(0) = 2, yfyr) = 2; use A = 19; actual solution y(x) 2 + sinx.

Step-by-Step Solution:
Step 1 of 3

L35 - 2 Substitution Rule If u = g(x)siaiblinwergein interval I and f is continuous on Ihn ▯ ▯ f(g(x))g (x) dx = f(u)du ▯ ex. (3x +1 ( x + x − 2) dx =

Step 2 of 3

Step 3 of 3

##### ISBN: 9781305253667

Since the solution to 3 from 11.4 chapter was answered, more than 227 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 3 from chapter: 11.4 was answered by , our top Math solution expert on 03/16/18, 03:24PM. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions. The answer to “Use the Nonlinear Finite-Difference Algorithm with TOL = 10 4 to approximate the solution to the following boundary-value problems. The actual solution is given for comparison to your results. a. y" = e~2y , 1 < x < 2, y(l) = 0, ^(2) = In2; use A = 9; actual solution >'(x) = Inx. b. y" = y'cosx - ylny, 0 < x < |, y(0) = \, y (y) = e: use N = 9; actual solution y(x) = c sin - , . c. y" = - (2(y')3 + y 2 y') secx, | < x < |, y (|) = 2-] '\ y (|) = ^12; use A = 4; actual solution y(x) Vsinx. d. y" = i (l (y')2 - y sinx) , 0 < x < tt, y(0) = 2, yfyr) = 2; use A = 19; actual solution y(x) 2 + sinx.” is broken down into a number of easy to follow steps, and 148 words.

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