Answer the following items on a clean sheet of paper. Upload photos of your answer sheets showing your solutions. f(0) = 1 X1 = 1nd Y1 = 2 f(2) %3D 3. Consider the ODE, LDf = f + 2x with Suppose Approximate using Adams-Moulton method with K = 2. Express the answer as improper fraction.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Answer the following items on a clean sheet of paper. Upload photos of your answer sheets showing your solutions.
Df = f + 2x
f (0) = 1
x1 = 1nd Y1 = 2
3. Consider the ODE,
with
Suppose
using Adams-Moulton method with K = 2. Express the answer as improper fraction.
Approximate (2)
Transcribed Image Text:Answer the following items on a clean sheet of paper. Upload photos of your answer sheets showing your solutions. Df = f + 2x f (0) = 1 x1 = 1nd Y1 = 2 3. Consider the ODE, with Suppose using Adams-Moulton method with K = 2. Express the answer as improper fraction. Approximate (2)
b. Using Adams-Moulton method with k = 2,
5
8
1
(2у, — Зх2) +
12
5
(2yo — Зхо)
12
Y2 = y1 +
: (2у, — Зх,) —
--
-
12
8
:(2(3) – 3(1)) –
1
= 3 +5(2y2 – 3(2))+
(2(1) – 3(0))
-
--
12
12
7
5
12
3
7
1
6V2 = 3
Y2 = 14
Transcribed Image Text:b. Using Adams-Moulton method with k = 2, 5 8 1 (2у, — Зх2) + 12 5 (2yo — Зхо) 12 Y2 = y1 + : (2у, — Зх,) — -- - 12 8 :(2(3) – 3(1)) – 1 = 3 +5(2y2 – 3(2))+ (2(1) – 3(0)) - -- 12 12 7 5 12 3 7 1 6V2 = 3 Y2 = 14
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