Lab 2 - 8. Page 346, number 24 9. Calculate the solution to...

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MATH 342-010 Differential Equations with Linear Algebra II Fall 2009 Due September 18, 2009 Edwards and Penney Homework 2 Section 5.2 1. Page 316, number 33 2. Find all eigenvalues and eigenvectors of the given matrix 3. Page 317, number 41 4. Show that the general solution of x is x(t) = c 1 e 2t c 2 + c 3 Section 5.4 5. Page 345, number 9
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6. Page 346, number 14 7. Page 346, number 15
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Unformatted text preview: 8. Page 346, number 24 9. Calculate the solution to the following problem: x(0) = 10. Consider the electric circuit governed by the following equation: = (a) Show that the eigenvalues are real and equal if L = 4R 2 C (b) Suppose that R = ohm, C = 1 Farad, and L = 1 Henry. Suppose also that I (0) = 2 A and V (0) = 2V. Find I (t) and V (t)....
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Lab 2 - 8. Page 346, number 24 9. Calculate the solution to...

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