Test2B_Spring08

# Test2B_Spring08 - (c) For which values of k (if any) does...

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Test 2B Spring 08 Question 1 Your answer is CORRECT. Give a particular solution of the nonhomogeneous differential equation a) b) c) d) e) f) None of the above. Question 2 Your answer is CORRECT. Give the form of a particular solution to the nonhomogeneous differential equation a) b) c) d) e) f) None of the above.

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Question 3 Your answer is CORRECT. Give the inverse Laplace Transform of a) b) c) d) e) f) None of the above. Question 4 Your answer is CORRECT. Give the Laplace Transform of a) b) c) d) e) f) None of the above.
Question 5 Your answer is CORRECT. Give the inverse Laplace transform of as a function of x . Note: The function u below is the unit step function, which is also known as the Heaviside function. a) b) c) d) e) f) None of the above. Question 6 Given the system (a) Give the augmented matrix for the system. (b) Use elementary row operations to reduce the augmented matrix to row-echelon form.

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Unformatted text preview: (c) For which values of k (if any) does the system have a unique solution? (d) For which values of k (if any) does the system have infinitely many solutions? (e) For which values of k (if any) does the system have no solution? Question 7 The functions are independent solutions of the reduced equation for (a) Give the general solution of the reduced equation. (b) Find a particular solution of the nonhomogeneous equation. Question 8 Given the initial value problem (a) Find the Laplace transform of the solution. (b) Find the solution by finding the inverse Laplace transform of your answer to (a). Question 9 Given the system (a) Give the augmented matrix for the system. (b) Reduce the augmented matrix to row-echelon form. (c) Give the solution to the system....
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## This note was uploaded on 01/30/2011 for the course MATH 3321 taught by Professor Morgan during the Spring '08 term at University of Houston.

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Test2B_Spring08 - (c) For which values of k (if any) does...

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