Let's consider the following differential equation y = xy + 2y + 1 = f(x, y) and the following initial condition. 30 = y(1)=5 Calculate two iteration of the trapezioidal method for A ((zo+20+1)+(₁+2+1)) Ar 2 ((₁M₁+2+1)+(₂+2y₂+1))Az 2 9190 92 - 9/1 = Y/1 S Y/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Shailesh

Let's consider the following differential equation
y = xy + 2y + 1 = f(x, y)
and the following initial condition.
yo = y(1) = 5
Calculate two iteration of the trapezioidal method for Az = 0.1
((Zo30+2yo+1)+(213/₁+2+1))Az
2
((₁3/₁+2₁+1)+(22Y2+2y2+1))Az
Y₁ - Yo
32 — 31
Yı
Y2
|| ||
=
=
Transcribed Image Text:Let's consider the following differential equation y = xy + 2y + 1 = f(x, y) and the following initial condition. yo = y(1) = 5 Calculate two iteration of the trapezioidal method for Az = 0.1 ((Zo30+2yo+1)+(213/₁+2+1))Az 2 ((₁3/₁+2₁+1)+(22Y2+2y2+1))Az Y₁ - Yo 32 — 31 Yı Y2 || || = =
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