Which of the following is a linear system of ODES? Ox' = 7 sin(x) – 7y, y' = 7x – 2 cos(y) - Ox' : - 2tx + 2ty + 7t, y' – 2tx + 7t-²y – In(t) O x' 2л + 2лу + sin(t), y' — 7ay — 2у — сos(t) - 2x – 5y + sin(ty), y' = 2x – 2y – cos(tx) Ox' = 7x + 2y + sin(t), y' = 7x – 2y – cos(t) %3D
Which of the following is a linear system of ODES? Ox' = 7 sin(x) – 7y, y' = 7x – 2 cos(y) - Ox' : - 2tx + 2ty + 7t, y' – 2tx + 7t-²y – In(t) O x' 2л + 2лу + sin(t), y' — 7ay — 2у — сos(t) - 2x – 5y + sin(ty), y' = 2x – 2y – cos(tx) Ox' = 7x + 2y + sin(t), y' = 7x – 2y – cos(t) %3D
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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Question
Which of the following is a linear system of ODEs?
- x'=7sin(x)−7y, y'=7x−2cos(y)x′=7sin(x)-7y, y′=7x-2cos(y)
- x'=−2tx+2ty+7t, y'=−2tx+7t−2y−ln(t)x′=-2tx+2ty+7t, y′=-2tx+7t-2y-ln(t)
- x'=−2x+2xy+sin(t), y'=7xy−2y−cos(t)x′=-2x+2xy+sin(t), y′=7xy-2y-cos(t)
- x'=−2x−5y+sin(ty), y'=−2x−2y−cos(tx)x′=-2x-5y+sin(ty), y′=-2x-2y-cos(tx)
- x'=7x+2y+sin(t), y'=7x−2y−cos(t)
Transcribed Image Text:Which of the following is a linear system of ODES?
Ox' = 7 sin(x) – 7y, y' = 7x – 2 cos(y)
-
Ox' :
- 2tx + 2ty + 7t, y'
– 2tx + 7t-²y – In(t)
O x'
2л + 2лу + sin(t), y' — 7ay — 2у — сos(t)
— 2т — 5у + sin(ty), y'
2x – 2y – cos(tx)
-
Ox' = 7x + 2y + sin(t), y' = 7x – 2y – cos(t)
%3D
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