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Convert y" – 3t y'+3 y=cos(5 t) into a system of first-order equations.

Convert y" – 3t y'+3 y=cos(5 t) into a system of first-order equations.

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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Convert y" – 3t y' +3 y= cos(5 t) into a system of first-order equations. a) O [x', =x,, x', = -3 x, + 3 t x, – 5 sin(5 t)] b) O [r, =x, x', = - 3 t x, + 3 x, – cos(5 t)] c) O [x, =x2, x'2 = -3 t x, – 3 x, – 5 sin(5 t)] d) O [r =x x'2 = 3 x, + 3 t x, + cos(5 t)] [* = *, x,= -3 x, +3 t x, + cos(5 t)] f) O None of the above.
Transcribed Image Text:Convert y" – 3t y' +3 y= cos(5 t) into a system of first-order equations. a) O [x', =x,, x', = -3 x, + 3 t x, – 5 sin(5 t)] b) O [r, =x, x', = - 3 t x, + 3 x, – cos(5 t)] c) O [x, =x2, x'2 = -3 t x, – 3 x, – 5 sin(5 t)] d) O [r =x x'2 = 3 x, + 3 t x, + cos(5 t)] [* = *, x,= -3 x, +3 t x, + cos(5 t)] f) O None of the above.
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