(b) compute an estimate of x(1) for the initial-value problem dx 1+x x(0) = -2 dt sin (t+1)'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2.3.9 Only B
Using the second-order predictor-corrector method,
(a) compute an estimate of x(0.5) for the initial-
value problem
dx = (2t + x) sin 2t, x(0) = 0.5
dt
using step size h = 0.05;
(b) compute an estimate of x(1) for the initial-value
problem
1 + x
dx
dt
x(0) = -2
sin (t+1)
using step size h = 0.1.
Transcribed Image Text:2.3.9 Only B Using the second-order predictor-corrector method, (a) compute an estimate of x(0.5) for the initial- value problem dx = (2t + x) sin 2t, x(0) = 0.5 dt using step size h = 0.05; (b) compute an estimate of x(1) for the initial-value problem 1 + x dx dt x(0) = -2 sin (t+1) using step size h = 0.1.
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