Q2:A- Use Rungo value problem: ý=1+², 1≤x≤2, y(1) = 2 with h = 0.2. olynomial approximation (of degree 1) to f(x) = x² +2,on [0,2]

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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Question
Note: Answer only five questions. (for
Q1: Use Tayler series method to solve the initial value problem and find loca
y=t² + y, y(0) = 1, 0≤t≤1 with h = 0.5.
Q2:A-Use Runge-Kutta (second order) for two iterations to find the solution of the initial
value problem:
ý=1+², 1≤x≤2, y(1)=2 with h = 0.2.
B- Find the linear least squares polynomial approximation (of degree 1) to f(x) = x² + 2, on [0,2]
two iterations:
Transcribed Image Text:Note: Answer only five questions. (for Q1: Use Tayler series method to solve the initial value problem and find loca y=t² + y, y(0) = 1, 0≤t≤1 with h = 0.5. Q2:A-Use Runge-Kutta (second order) for two iterations to find the solution of the initial value problem: ý=1+², 1≤x≤2, y(1)=2 with h = 0.2. B- Find the linear least squares polynomial approximation (of degree 1) to f(x) = x² + 2, on [0,2] two iterations:
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