# Lab 5 - The governing equations are L ° IR = V(t I(0 = 0...

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MATH 342-010 Differential Equations with Linear Algebra II Fall 2009 Due October 9, 2009 Homework 5 Edwards and Penney Section 7.1 1. Calculate the Laplace transform of the following functions. Use the definition, not the table. (a) coswt (b) sinwt (c) tsinwt 2. Pages 450, 451 numbers 17 and 30 3. Consider the following function: f(t) = t 0 ≤ t < 1, f(t) = 0 t ≥ 1 (a) Sketch this function. (b) Compute the Laplace transform of f. Section 7.2

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4. Consider the circuit above. Initially there is no current I in the circuit.
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Unformatted text preview: The governing equations are L ° + IR = V(t), I(0) = 0. where I is the current in the inductor. (a) Using Laplace transforms, solve the system if the imposed voltage is a constant V . (b) Using Laplace transforms, solve the system if the imposed voltage is given by V cosωt. 5. Page 462 and 463 numbers 6 and 9 6. Page 463, number 15 Section 7.3 7. Page 472, numbers 2 and 10 8. Page 472, numbers 16 and 19 9. Page 472, number 34 Section 7.4 10. Using the convolution theorem find L-1 ±² / ³ ´³ /( ³ + 1) µ...
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Lab 5 - The governing equations are L ° IR = V(t I(0 = 0...

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