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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. -

Advanced Engineering Mathematics
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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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.
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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