Convert the following boundary value problem into a system of linear equation [A]{y} = {b}(without coding), with the following boundary conditions: y" +5y = x, y(0)= 1, y(10) = 7 with n = 5

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Convert the following boundary value problem into a system of linear equation [A]{y} = {b}(without coding),
with the following boundary conditions:
y” +5y' = x, y(0) = 1, y(10) = 7
with n = 5
2hf'(x)
h²f"(x)
2h³ f(x)
f(x-2h)
-1
1
f(x) f(x+h) f(x+2)
0
1 -2
0
6
flx-h)
-1
2
-4
1
1
-2
-4
1
1
Table 5.1. Coefficients of central finite difference approximations
of 0(h)
Transcribed Image Text:Convert the following boundary value problem into a system of linear equation [A]{y} = {b}(without coding), with the following boundary conditions: y” +5y' = x, y(0) = 1, y(10) = 7 with n = 5 2hf'(x) h²f"(x) 2h³ f(x) f(x-2h) -1 1 f(x) f(x+h) f(x+2) 0 1 -2 0 6 flx-h) -1 2 -4 1 1 -2 -4 1 1 Table 5.1. Coefficients of central finite difference approximations of 0(h)
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