Test 2 with Solution for Engineering Mathematics | MATH 3321, Exams of Mathematics

Download Test 2 with Solution for Engineering Mathematics | MATH 3321 and more Exams Mathematics in PDF only on Docsity! 4/5/12 Print Test 1/6https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm PRINTABLE VERSION Test 2 You scored 50 out of 70 Question 1 Your answer is CORRECT. Give the form of the general solution of a) b) c) d) e) f) None of the above. Question 2 Your answer is INCORRECT. Find a particular solution of a) b) 4/5/12 Print Test 2/6https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm c) d) e) f) None of the above. Question 3 Your answer is CORRECT. The linear, homogeneous, constant coefficient differential equation of least order that has as a solution is: a) b) c) d) e) f) None of the above. Question 4 Your answer is CORRECT. Give the Laplace transform of the solution of a) 4/5/12 Print Test 5/6https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm c) d) e) f) None of the above. Question 8 Your answer is CORRECT. This is a written question, worth 10 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps/work on your answer sheet for full credit. Problem Code: 865 The reduced equation of has solutions of the form y = x r . (a) Find a fundemental set of solutions of the reduced equation. (b) Find a particular solution of the given equation. (c) Find the general solution of the given equation. a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 9 Your answer is CORRECT. This is a written question, worth 10 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps/work on your answer sheet for full credit. 4/5/12 Print Test 6/6https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm Problem Code: 923 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). a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 10 Your answer is CORRECT. This is a written question, worth 10 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps/work on your answer sheet for full credit. Problem Code: 1071 (a) z1(x) = 3x 2 + x ln(x), z2(x) = x ln(x), z3(x) = 4x + x ln(x) are solutions of a second order, linear, nonhomogeneous differential equation L[y] = f (x). (i) Find two linearly independent solutions {y1, y2} of the corresponding reduced equation L[y] = 0; prove that your solutions are independent. (ii) Give the general solution of L[y] = f (x). (b) Given the differential equation (i) Find a fundamental set of solutions of the corresponding reduced equation. (ii) Find the general solution of the given equation. a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem.