y' y² 2 + 2ty, y(1) = 1. 2 3 +1² t

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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Consider the initial value problem
y² + 2ty y(1) = 1.
= √² +
3 + 1²
Use Euler's method with h = 0.1, 0.05, 0.025, and 0.01 to explore the solution of this problem for 1 ≤t≤3.
What is your best estimate at
2.30
2.32
2.23
=
No reliable estimate is possible.
2.28
:2?
"
Transcribed Image Text:Consider the initial value problem y² + 2ty y(1) = 1. = √² + 3 + 1² Use Euler's method with h = 0.1, 0.05, 0.025, and 0.01 to explore the solution of this problem for 1 ≤t≤3. What is your best estimate at 2.30 2.32 2.23 = No reliable estimate is possible. 2.28 :2? "
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