Let y' = - ty + 0.1y and y(0) = 1.4. Use Euler's method to find approximate values of the solution of the given initial value problem at t = 0.5, 1, 1.5, 2, 2.5, and 3 with h = 0.05. Carry out all calculations exactly and round the final answers to six decimal places. t y(t) 0.5 i 1 1.5 i 2 i 2.5 i 3 i

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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Let y' = - ty + 0.1y and y(0) = 1.4.
Use Euler's method to find approximate values of the solution of the given initial value problem at t = 0.5, 1, 1.5, 2, 2.5, and 3
with h = 0.05.
Carry out all calculations exactly and round the final answers to six decimal places.
t
y(t)
0.5
i
1
1.5
i
2
i
2.5
i
3
i
Transcribed Image Text:Let y' = - ty + 0.1y and y(0) = 1.4. Use Euler's method to find approximate values of the solution of the given initial value problem at t = 0.5, 1, 1.5, 2, 2.5, and 3 with h = 0.05. Carry out all calculations exactly and round the final answers to six decimal places. t y(t) 0.5 i 1 1.5 i 2 i 2.5 i 3 i
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