Given Initial Value Problem (IVP) dy dx (3x – 2y) X = (x³ - 1) x² " y(1) = 0 (a) Plot the exact solution y(x) (b) Using Fourth-Order Runge-Kutta algorithm (RK4), calculate n = 5 points of the numerical solution using the step size h 0.4 and plot the results on the same graph in Part (a). for the interval x = [0, 2].

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Given Initial Value Problem (IVP)
dy
dx
(a) Plot the exact solution y(x) =
=
(3x – 2y)
X
(x³ 1)
x²
9
y(1) = 0
for the interval x = [0, 2].
(b) Using Fourth-Order Runge-Kutta algorithm (RK4), calculate n = 5 points of the
0.4 and plot the results on the same
=
numerical solution using the step size h
graph in Part (a).
Transcribed Image Text:Given Initial Value Problem (IVP) dy dx (a) Plot the exact solution y(x) = = (3x – 2y) X (x³ 1) x² 9 y(1) = 0 for the interval x = [0, 2]. (b) Using Fourth-Order Runge-Kutta algorithm (RK4), calculate n = 5 points of the 0.4 and plot the results on the same = numerical solution using the step size h graph in Part (a).
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