1. Use all the Adams-Bashforth methods to approximate the solutions to the following initial-value problems. In each case use exact starting values, and compare the results to the actual values. a. y = te" - 2y, 0SısI, y(0) = 0, with h = 0.2; actual solution y(t) = }te* – + b. y = 1+ (t- y). 25153, y(2) = 1, with h = 0.2; actual solution y(t) = 1+
1. Use all the Adams-Bashforth methods to approximate the solutions to the following initial-value problems. In each case use exact starting values, and compare the results to the actual values. a. y = te" - 2y, 0SısI, y(0) = 0, with h = 0.2; actual solution y(t) = }te* – + b. y = 1+ (t- y). 25153, y(2) = 1, with h = 0.2; actual solution y(t) = 1+
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please solve exercise 1
Transcribed Image Text:EXERCISESET:
Use all the Adams-Bashforth methods to approximate the solutions to the following initial-value
problems. In each case use exact starting values, and compare the results to the actual values.
a. y = te" - 2y, 0<ıs1, y(0) = 0, with h = 0.2; actual solution y(t) = }te* – £e* +
1.
b. y = 1+ (t - y). 2<1<3, y(2) = 1, with h = 0.2; actual solution y(t) = 1+
2.
Use each of the Adams-Bashforth methods to approximate the solutions to the following initial-value
problems. In each case use starting values obtained from the Runge-Kutta method of order four.
Compare the results to the actual values.
y =
2-2ty
2t+1
0<I<1, y(0) = 1, with h 0.1 actual solution y(t) =
a.
F+2
-1
Isıs2, y(1) = -(In 2)-, with h = 0.1 actual solution y(f) =
b.
In(t + 1)
3. Use each of the Adams-Moulton methods to solve Exercise (1 and 2).
4. Use each of Milnes Methods to solve Exercise (1 and 2).
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