Final Exam Solution - King Fahd University of Petroleum and Minerals

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Exercise 9If the linear operator D 3 + aD 2 + bD + c annihilates (1 + e −x ) 2 thena + b + c =A) 5B) 4C) 3D) 6E) 210

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Exercise 9If the linear operator D 3 + aD 2 + bD + c annihilates (1 + e −x ) 2 thena + b + c =A) 5B) 4C) 3D) 6E) 210

Exercise 10The set {2x, x −1 , x −1 ln(x)} forms a fundamental set <strong>of</strong> solutions to the differentialequation x 3 y ′′′ + 4x 2 y ′′ + xy ′ − y = 0 on the interval (0, ∞).The Wronskian <strong>of</strong> {2x, x −1 , x −1 ln(x)} is:A) 8 x 4B) − 8 x 2C) 8 x 3D) 8 x 5E) − 8 x11

Page 1 and 2: Math 202- Elements of Differential
Page 3 and 4: Exercise 2 (12 points)Consider the
Page 5 and 6: Exercise 4 (10 points)Solve the fol
Page 7 and 8: Exercise 6 (10 points)a) Show that
Page 9: Exercise 8If we convert the Cauchy-
Page 13 and 14: Exercise 12Which one of the followi
Page 15: Exercise 14⎛Consider A = ⎝0 1

Final Exam Solution - King Fahd University of Petroleum and Minerals

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