(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) = -2 et +t+3 NOTE: Round your answer to five decimal places. y(0.1) 1.29033 y (0.2)~ 1.56254 y(0.3)~ 1.81836 y (0.4) 2.05936

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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Answer letter d and show complete solution

Your answer is correct.
y' = 4+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)
1.3
y (0.2) 1.58
y (0.3)~ 1.84
y(0.4)~ 2.09
Transcribed Image Text:Your answer is correct. y' = 4+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) 1.3 y (0.2) 1.58 y (0.3)~ 1.84 y(0.4)~ 2.09
(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) =
=
-2 e
-t
+t+3
NOTE: Round your answer to five decimal places.
y (0.1)
1.29033
y (0.2) 1.56254
y(0.3)~ 1.81836
y (0.4) 2.05936
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) = = -2 e -t +t+3 NOTE: Round your answer to five decimal places. y (0.1) 1.29033 y (0.2) 1.56254 y(0.3)~ 1.81836 y (0.4) 2.05936
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