1) Find the value of y(1) using the given number of steps. All answers must be rounded to 4 decimal places. (a) Use 2 steps of Euler's method to estimate y(1). (b) Use 4 steps of Euler's method to estimate y(1). 2) Using the solution y = sin(x)+1 / x+1, give the exact value of y(1).
1) Find the value of y(1) using the given number of steps. All answers must be rounded to 4 decimal places. (a) Use 2 steps of Euler's method to estimate y(1). (b) Use 4 steps of Euler's method to estimate y(1). 2) Using the solution y = sin(x)+1 / x+1, give the exact value of y(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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1) Find the value of y(1) using the given number of steps. All answers must be rounded to 4 decimal places.
(a) Use 2 steps of Euler's method to estimate y(1).
(b) Use 4 steps of Euler's method to estimate y(1).
2) Using the solution y = sin(x)+1 / x+1, give the exact value of y(1).
Transcribed Image Text:dy
dr
f(x, y)
cos(x) - y
x + 1
y(0) = 1
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