dy 1. Consider the differential equation da 2x3+2 where y = 5 at x = 1. Use RK4 Method to determine %3D y(3) using step size h = 0.01. Also, solve the absolute relative true error.

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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1. Consider the differential equation
dy
2x2+2
where y = 5 at x = 1. Use RK4 Method to determine
da
y(3) using step size h = 0.01. Also, solve the absolute relative true error.
dy
2. Consider the differential equation
da
22 – y where y = 4 at æ = 0. Use RK4 Method to
determine y(2) using step size h = 0.01. Also, solve the absolute relative true error.
Transcribed Image Text:1. Consider the differential equation dy 2x2+2 where y = 5 at x = 1. Use RK4 Method to determine da y(3) using step size h = 0.01. Also, solve the absolute relative true error. dy 2. Consider the differential equation da 22 – y where y = 4 at æ = 0. Use RK4 Method to determine y(2) using step size h = 0.01. Also, solve the absolute relative true error.
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