2. Find the particular solution for the following system of first-order linear differential equations. (a) y =-3y, + y2, y;(0) =12 v = y - 3y,, y,(0) = -4 (b) y = 2y, +5y,, y,(0) = 10 V2 = -y -, y,(0) = -5

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
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2 =-Y, +2y2
8 -12)
Find the particular solution for the following system of first-order linear
differential equations.
(a) y =-3y, + y2, y,(0) =12
y, = y, - 3y,, y2(0) = -4
2.
(b) y = 2y, +5y2,
V2 = -y -2, y,(0) = -5
y,(0) = 10
Transcribed Image Text:2 =-Y, +2y2 8 -12) Find the particular solution for the following system of first-order linear differential equations. (a) y =-3y, + y2, y,(0) =12 y, = y, - 3y,, y2(0) = -4 2. (b) y = 2y, +5y2, V2 = -y -2, y,(0) = -5 y,(0) = 10
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