Find the difference approximations of the solution y(x) of the boundary value problem y" + 8(sin?nx)y = 0, 0< x< 1 and y(0) = y(1) = 1 Use step-lengths h=1/4 and 1/6. Find an approximate value for y'(0). Show your outputs in terms of the following: 1. Paper computation and solution

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the difference approximations of the solution y(x) of the boundary value problem
y"+ 8(sin? πκ)y0,
0< x< 1 and y(0) = y(1) = 1
Use step-lengths h=1/4 and 1/6.
Find an approximate value for y'(0).
Show your outputs in terms of the following:
1. Paper computation and solution
Transcribed Image Text:Find the difference approximations of the solution y(x) of the boundary value problem y"+ 8(sin? πκ)y0, 0< x< 1 and y(0) = y(1) = 1 Use step-lengths h=1/4 and 1/6. Find an approximate value for y'(0). Show your outputs in terms of the following: 1. Paper computation and solution
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