11) Given y' = xy² +. and y(1) = 1. x a) Use the Euler's and RK4 Methods to find a four decimal approximation of y(1.5) using h = 0.1. b) Find the Exact solution analytically. c) Provide a table of values for all three (Exact, Euler, and RK4) methods leading to y(1.5) and plot them on the same axis, as discussed in class!!
11) Given y' = xy² +. and y(1) = 1. x a) Use the Euler's and RK4 Methods to find a four decimal approximation of y(1.5) using h = 0.1. b) Find the Exact solution analytically. c) Provide a table of values for all three (Exact, Euler, and RK4) methods leading to y(1.5) and plot them on the same axis, as discussed in class!!
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 24AR: a. Given: x=360 inches and y=5.10 inches. Compute Dia A to 2 decimal places. b. Given: Dia A=8.76...
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Question
![Y
11) Given y'= xy² + and y(1) = 1.
X
a) Use the Euler's and RK4 Methods to find a four decimal approximation of y(1.5)
using h = 0.1.
b) Find the Exact solution analytically.
c) Provide a table of values for all three (Exact, Euler, and RK4) methods leading to
y(1.5) and plot them on the same axis, as discussed in class!!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27d58636-5741-4adb-b00f-d16166493222%2Fcd67de5a-68cc-4389-bc3d-9e436e3c57ec%2Fq73l3t_processed.png&w=3840&q=75)
Transcribed Image Text:Y
11) Given y'= xy² + and y(1) = 1.
X
a) Use the Euler's and RK4 Methods to find a four decimal approximation of y(1.5)
using h = 0.1.
b) Find the Exact solution analytically.
c) Provide a table of values for all three (Exact, Euler, and RK4) methods leading to
y(1.5) and plot them on the same axis, as discussed in class!!
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