T4M204AF03 - Math 204 Section A Test 4 Name: 1) Transform...

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Math 204 Test 4 Name: Section A 1) Transform the equation 2 u 3 u + 4 u = 0 into a system of first order equations. 2) If A = 1 i 2 3 2 i 37 i 0 6 i 2 + 3 ii + 2 find (a) A T (b) A (c) A *
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3) Let x (1) ( t ) = e t t , x (2) ( t ) = te t t 2 . Show that x ( t ) and x ( t ) are linearly dependent at each point in the interval 0 t 1. 4) Find the solution of the initial value problem X = 30 0 3 X , X (0) = 5 1 .
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5) Verify that the vector X = 2 1 e 3 t satisfies the differential equation
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T4M204AF03 - Math 204 Section A Test 4 Name: 1) Transform...

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