4. Given a system of differential equations dx = 100x - 2xy dt dy = -75y + xy dt with the initial conditions x(0) = y(0) = 20. Use the modified Euler's method to approximate x(0.01) and y(0.01).
4. Given a system of differential equations dx = 100x - 2xy dt dy = -75y + xy dt with the initial conditions x(0) = y(0) = 20. Use the modified Euler's method to approximate x(0.01) and y(0.01).
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:4. Given a system of differential equations
dx
-= 100x - 2xy
dt
dy
= -75y + xy
dt
with the initial conditions x(0) = y(0) = 20. Use the modified Euler's method to
approximate x(0.01) and y(0.01).
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