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Find a fundamental matrix of the following system, and then apply x(t)=(1)(0) ¹x, to find a solution satisfying the initial conditions 72] <. x(0)-[71] 4- x. F 24 Find a fundamental matrix for the given system. Select the correct answer below. A. (1)= OB. (t)= Oc. (t)= OD. (1)= 5 cos 4t -5 sin 4t -2 cos 41+4 sin 4t 4 cos 4t+2 sin 4t 2+5t 2-5e-4t 2+51 -2-5e-4 2 cos 4t 5 sin 21-5 cos 41 -2 sin 4 5 sin 2t+4 cos 41 2e-4 -5eft 5e-41 2e-4 Find a solution satisfying the given initial condition x(1) = 2

Find a fundamental matrix of the following system, and then apply x(t)=(1)(0) ¹x, to find a solution satisfying the initial conditions 72] <. x(0)-[71] 4- x. F 24 Find a fundamental matrix for the given system. Select the correct answer below. A. (1)= OB. (t)= Oc. (t)= OD. (1)= 5 cos 4t -5 sin 4t -2 cos 41+4 sin 4t 4 cos 4t+2 sin 4t 2+5t 2-5e-4t 2+51 -2-5e-4 2 cos 4t 5 sin 21-5 cos 41 -2 sin 4 5 sin 2t+4 cos 41 2e-4 -5eft 5e-41 2e-4 Find a solution satisfying the given initial condition x(1) = 2

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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Find a fundamental matrix of the following system, and then apply x(t)=(1)(0) ¹x, to find a solution satisfying the initial conditions 72] <. x(0)-[7] 4- F 24 Find a fundamental matrix for the given system. Select the correct answer below. A. (1)= OB. (t)= Oc. (t)= OD. (1)= 5 cos 4t -5 sin 4t -2 cos 41+4 sin 4t 4 cos 4t+2 sin 4t 2+5t 2-5e-4t 2+51 -2-5e-4 2 cos 4t 5 sin 21-5 cos 41 -2 sin 4t 5 sin 2t+4 cos 41 2e-4 -5eft -5e-4 2e-4 Find a solution satisfying the given initial condition x(t) = 2 8
Transcribed Image Text:Find a fundamental matrix of the following system, and then apply x(t)=(1)(0) ¹x, to find a solution satisfying the initial conditions 72] <. x(0)-[7] 4- F 24 Find a fundamental matrix for the given system. Select the correct answer below. A. (1)= OB. (t)= Oc. (t)= OD. (1)= 5 cos 4t -5 sin 4t -2 cos 41+4 sin 4t 4 cos 4t+2 sin 4t 2+5t 2-5e-4t 2+51 -2-5e-4 2 cos 4t 5 sin 21-5 cos 41 -2 sin 4t 5 sin 2t+4 cos 41 2e-4 -5eft -5e-4 2e-4 Find a solution satisfying the given initial condition x(t) = 2 8
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