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

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
9. Page 316, number 23 10. Consider the circuit shown above: The current I through the inductor and the voltage V across the
This is the end of the preview. Sign up to access the rest of the document.

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 →∞?...
View Full Document

## This note was uploaded on 12/23/2009 for the course MATH 342 taught by Professor Edwards,d during the Fall '08 term at University of Delaware.

### Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online