Problem 14.2. Use the method of elimination to find the general solution of the linear systems x' = -x + 3y, J x' a) b) = x - 2y, y' = 2x - 3y. y' = 2y. x' =-3x - 4y, S x² d) y' y' = 2x + y. x' =2x+ỵ, { y = x + 2y - e² c) e) { f) 4x + y + 2t, −2x+y. x' = 2x - 3y + 2 sin 2t, y = x - 2y - cos 2t. -
Problem 14.2. Use the method of elimination to find the general solution of the linear systems x' = -x + 3y, J x' a) b) = x - 2y, y' = 2x - 3y. y' = 2y. x' =-3x - 4y, S x² d) y' y' = 2x + y. x' =2x+ỵ, { y = x + 2y - e² c) e) { f) 4x + y + 2t, −2x+y. x' = 2x - 3y + 2 sin 2t, y = x - 2y - cos 2t. -
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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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Transcribed Image Text:Problem 14.2. Use the method of elimination to find the general
solution of the linear systems
= -x + 3y,
= x – 2y,
a)
y = 2y.
b)
2.т — Зу.
x'
c)
y' = 2x + y.
— — Зх — 4)у,
4х + у + 2t,
d)
–2x + y.
= -
x' = 2x + y,
e)
y' = x + 2y – e²4.
|а— 2л — Зу + 2sin 2t,
f)
y' = x – 2y – cos 2t.
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