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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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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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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