Use the Runge-Kutta method to approximate x(0.2) and y(0.2). First use h = 0.2 and then use h = 0.1. (Round your answers to four decimal places.) x' + 4x − y' = 7t x' + y' − 2y = 3t x(0) = 1, y(0) = −2 x(0.2), y(0.2) ≈ (h = 0.2) x(0.2), y(0.2) ≈ (h = 0.1)
Use the Runge-Kutta method to approximate x(0.2) and y(0.2). First use h = 0.2 and then use h = 0.1. (Round your answers to four decimal places.) x' + 4x − y' = 7t x' + y' − 2y = 3t x(0) = 1, y(0) = −2 x(0.2), y(0.2) ≈ (h = 0.2) x(0.2), y(0.2) ≈ (h = 0.1)
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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Use the Runge-Kutta method to approximate x(0.2) and y(0.2). First use
h = 0.2
and then use
h = 0.1.
(Round your answers to four decimal places.)
x' + 4x − y' = 7t
x' + y' − 2y = 3t
x(0) = 1, y(0) = −2
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≈
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(h = 0.2)
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≈
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(h = 0.1)
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