Mat 262 Exam-4

# Mat 262 Exam-4 - Given: 1 4 1 dx x y dt dy x y dt = - +...

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Mat 262 Exam 4 Name SHOW ALL WORK Date 07/14/09 1. Use the First Translation or Second Translation Theorem to solve the following. a. ( 29 { } 4 1 3 cos5 t t e e t - - + L b. ( 29 { } 5 -5 t t e t - L U c. 1 2 4 5 s s s - + + L d. 2 1 2 2 4 4 s - s e s s - - + + π L

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2. Determine the charge ( 29 q t and the current ( 29 i t for a series circuit in which 1 henry L = , 7 R = , 0.1 farad C = , ( 29 12sin3 volts V t t = , the initial conditions are ( 29 0 0 q = and ( 29 0 0 i = . Use Laplace transform to solve the given initial – value problem. Note: ( 29 i t dq dt = 7 10 12sin3 q q q t ′′ + + = i r
3. Verify that the vector X is a solution of the given system.

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Unformatted text preview: Given: 1 4 1 dx x y dt dy x y dt = - + =-Solution: 3 2 1 2 t e-- = X 4. Determine if the given vectors is linearly independent or dependent. 2 1 1 1 t e- = - X , 6 2 3 5 t e- = X 5. Find the general solution of the given system. a. 5 2 3 4 2 2- = - X X b. 12 9 4- = c. 4 5 5 4- = - X X...
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## This note was uploaded on 09/15/2011 for the course MATH 262 taught by Professor Leon during the Spring '11 term at Pima CC.

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Mat 262 Exam-4 - Given: 1 4 1 dx x y dt dy x y dt = - +...

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