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A system of first-order differential equations is given by [0] =6₂100] If x (0) 1 and y(0) 2, which of the following is the solution to the system of differential equations? Select one alternative: > [2(t)] = eu [1] + 2ª [1] e4t >[2()] = 24 [1] + e[1] y(t) 2e4t eût O [2(6)] = [x(t)] y(t)] e6t []+24 [1] +2e¹t 2e6t H + est D

A system of first-order differential equations is given by [0] =6₂100] If x (0) 1 and y(0) 2, which of the following is the solution to the system of differential equations? Select one alternative: > [2(t)] = eu [1] + 2ª [1] e4t >[2()] = 24 [1] + e[1] y(t) 2e4t eût O [2(6)] = [x(t)] y(t)] e6t []+24 [1] +2e¹t 2e6t H + est D

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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A system of first-order differential equations is given by [x'(t)] [60] 0 = If x (0) = 1 and y(0) = 2, which of the following is the solution to the system of differential equations? Select one alternative: [(6)] = [1] + 2² [1] e4t [3(1)] = 24 [1] + [1] 2e4t eût ¯x(t)] [5]-[]+2*[9] 6t e +2e¹t = [2(0)] = 26² [1]+e 2e6t est []
Transcribed Image Text:A system of first-order differential equations is given by [x'(t)] [60] 0 = If x (0) = 1 and y(0) = 2, which of the following is the solution to the system of differential equations? Select one alternative: [(6)] = [1] + 2² [1] e4t [3(1)] = 24 [1] + [1] 2e4t eût ¯x(t)] [5]-[]+2*[9] 6t e +2e¹t = [2(0)] = 26² [1]+e 2e6t est []
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