Solve the following ordinary differential equation (ODE) using finite-difference with h = 0.5 d²y/dx2=(1-x/5)y+x. y(1)=2, y(3)= -1 calcualte y(2.0) to three digits. use: d²y/dx² = (y(i+1)-2y(i)+y(i-1)) /h²
Solve the following ordinary differential equation (ODE) using finite-difference with h = 0.5 d²y/dx2=(1-x/5)y+x. y(1)=2, y(3)= -1 calcualte y(2.0) to three digits. use: d²y/dx² = (y(i+1)-2y(i)+y(i-1)) /h²
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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Transcribed Image Text:Solve the following ordinary differential equation (ODE) using finite-difference with h = 0.5
d²y/dx²=(1-x/5)y+x. y(1)=2, y(3)= -1
calcualte y(2.0) to three digits.
use: d²y/dx² = (y(i+1)-2y(i)+y(i-1)) /h²
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