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' = x + 2y y' = 4x + 3y x(0) = 1, y(0) = 1 (x(0.2), y(0.2))*( (x(0.2), y(0.2)) = ([ (h = 0.2) (h = 0.1)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
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Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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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' = x + 2y
y' = 4x + 3y
x(0) = 1, y(0) = 1
(x(0.2), y(0.2)) = ([
(x(0.2), y(0.2))*([
Use a numerical solver and h = 0.1 to graph the solution in a neighborhood of t = 0.
(h = 0.2)
(h = 0.1)
Transcribed Image Text: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' = x + 2y y' = 4x + 3y x(0) = 1, y(0) = 1 (x(0.2), y(0.2)) = ([ (x(0.2), y(0.2))*([ Use a numerical solver and h = 0.1 to graph the solution in a neighborhood of t = 0. (h = 0.2) (h = 0.1)
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