The boundary value problem y" + y + y = x, y' (1) = 1, y(2) = 2 is solved using central differences with step h = 0.5. After the equation and the left boundary conditions are discretized at x = 1, the values of y(1) and y(1.5) satisfy the equation y(1.5) + Ay(1) + B = 0. Determine A = and B = (enter exact values as a decimal).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The boundary value problem y" + y + y = x, y' (1) = 1, y(2) = 2 is solved using central differences with
step h = 0.5. After the equation and the left boundary conditions are discretized at x = 1, the values of y(1)
and y(1.5) satisfy the equation y(1.5) + Ay(1) + B = 0. Determine A
=
and B =
(enter exact values as a decimal).
Transcribed Image Text:The boundary value problem y" + y + y = x, y' (1) = 1, y(2) = 2 is solved using central differences with step h = 0.5. After the equation and the left boundary conditions are discretized at x = 1, the values of y(1) and y(1.5) satisfy the equation y(1.5) + Ay(1) + B = 0. Determine A = and B = (enter exact values as a decimal).
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