y = 7+t-y, y(0) = 1 (a) Find approximate values of the solution of the given initial value problem at t = 0.1, 0.2, 0.3 and 0.4 using the Euler method with h = 0.1. NOTE: Round your answer to two decimal places. y (0.1) y (0.2) ≈ y (0.3)~ y (0.4)~ 001

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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y = 7+t-y, y(0) = 1
(a) Find approximate values of the solution of the given initial value
problem at t = 0.1, 0.2, 0.3 and 0.4 using the Euler method with
h = 0.1.
NOTE: Round your answer to two decimal places.
y (0.1)
y (0.2) ≈
y (0.3)~
y (0.4)~
001
Transcribed Image Text:y = 7+t-y, y(0) = 1 (a) Find approximate values of the solution of the given initial value problem at t = 0.1, 0.2, 0.3 and 0.4 using the Euler method with h = 0.1. NOTE: Round your answer to two decimal places. y (0.1) y (0.2) ≈ y (0.3)~ y (0.4)~ 001
(d) Find the solution y = o(t) of the given problem and evaluate
o(t) at t = 0.1, 0.2, 0.3 and 0.4.
y(t)
=
NOTE: Round your answer to five decimal places.
y (0.1)
y(0.2) ~
y (0.3)~
y(0.4)~
11001
Transcribed Image Text:(d) Find the solution y = o(t) of the given problem and evaluate o(t) at t = 0.1, 0.2, 0.3 and 0.4. y(t) = NOTE: Round your answer to five decimal places. y (0.1) y(0.2) ~ y (0.3)~ y(0.4)~ 11001
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