Let x(t) and y(t) satisfy the system of differential equations dx .3x(1 – x – .4y) dt dy .2y((1 – .5x – y) dt - (a) If x(4) = 5 and y(4) = 6 find x'(4) and y'(4). (b) Is y(t) increasing or decreasing when t = 4, explain how you know. (c) Estimate x(4.05) and y(4.05). %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let x(t) and y(t) satisfy the system of differential
equations
dx
За(1 — х — 4у)
dt
dy
= .2y((1 – .5x – y)
dt
(a) If x(4) = 5 and y(4) = 6 find x'(4) and y'(4).
(b) Is y(t) increasing or decreasing when t = 4, explain how you know.
(c) Estimate x(4.05) and y(4.05).
Transcribed Image Text:Let x(t) and y(t) satisfy the system of differential equations dx За(1 — х — 4у) dt dy = .2y((1 – .5x – y) dt (a) If x(4) = 5 and y(4) = 6 find x'(4) and y'(4). (b) Is y(t) increasing or decreasing when t = 4, explain how you know. (c) Estimate x(4.05) and y(4.05).
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