Use Euler's Method to find approximate values of the solution of the given initial value problem at t = 0.5, 1, 1.5, 2.0, 2.5, and 3.0. (A computer algebra system recommended. Round your answers to five decimal places.) y' = y(3 ty), y(0) = 0.5 (a) with h 0.1 y(0.5) = y(1.0) = y(1.5) z y(2.0) y(2.5) = y(3.0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 6T
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Use Euler's
Method to find approximate values of the solution of the given initial value problem at t = 0.5, 1, 1.5, 2.0, 2.5, and 3.0. (A computer algebra system is recommended. Round your answers to five decimal places.)
y' = y(3 ty), y(0) = 0.5
(a) with h = 0.1
y(0.5) =
y(1.0)
y(1.5) =
y(2.0) z
y(2.5) z
y(3.0) =
(b) with h 0.05
y(0.5) =
y(1.0)
y(1.5)
y(2.0) =
y(2.5) =
y(3.0) =
(c) with h 0.025
y(0.5) =
y(1.0) =
y(1.5)
y(2.0) =
y(2.5) z
y(3.0) z
(d) with h = 0.01
y(0.5) =
y(1.0) =
y(1.5) z
y(2.0) =
y(2.5) z
y(3.0) =
Transcribed Image Text:Use Euler's Method to find approximate values of the solution of the given initial value problem at t = 0.5, 1, 1.5, 2.0, 2.5, and 3.0. (A computer algebra system is recommended. Round your answers to five decimal places.) y' = y(3 ty), y(0) = 0.5 (a) with h = 0.1 y(0.5) = y(1.0) y(1.5) = y(2.0) z y(2.5) z y(3.0) = (b) with h 0.05 y(0.5) = y(1.0) y(1.5) y(2.0) = y(2.5) = y(3.0) = (c) with h 0.025 y(0.5) = y(1.0) = y(1.5) y(2.0) = y(2.5) z y(3.0) z (d) with h = 0.01 y(0.5) = y(1.0) = y(1.5) z y(2.0) = y(2.5) z y(3.0) =
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