Lab 1 - capacitor satisfies the system of di f erential...

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MATH 342 Differential Equations with Linear Algebra II Fall 2009 Due September 11, 2009 Homework 1 Section 5.1 1. Page 301, number 2 2. Page 301, number 5 3. Page 302, number 9 4. Page 302, number 14 5. Page 302, number 29 6. Page 302, number 37 7. Compute the inverse of the given matrix: Section 5.2 8. Page 316, number 7
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9. Page 316, number 23 10. Consider the circuit shown above: The current I through the inductor and the voltage V across the
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Unformatted text preview: capacitor satisfies the system of di f erential equations L = R 1 I V, (1.1a) CV = I V (1.1b) R 2 a) Write the system (1.1) in matrix-vector form. Now let R 1 =1 ohm, R 2 =1/2 ohm, C =1/2 Farad, and L =1 Henry. (b) Solve the system for I and V using eigenvalues and eigenvectors. (c) Does the solution depend on the initial data as t ?...
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Lab 1 - capacitor satisfies the system of di f erential...

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