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Consider the electric circuit shown in Figure 7.6.6.

Elementary Differential Equations and Boundary Value Problems | 10th Edition | ISBN: 9780470458310 | Authors: William E. Boyce ISBN: 9780470458310 168

Solution for problem 25 Chapter 7.6

Elementary Differential Equations and Boundary Value Problems | 10th Edition

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Elementary Differential Equations and Boundary Value Problems | 10th Edition | ISBN: 9780470458310 | Authors: William E. Boyce

Elementary Differential Equations and Boundary Value Problems | 10th Edition

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Problem 25

Consider the electric circuit shown in Figure 7.6.6. Suppose that R1 = R2 = 4 ,C = 12 F, and L = 8 H.(a) Show that this circuit is described by the system of differential equationsddt IV=12 182 12 IV, (i)where I is the current through the inductor and V is the voltage drop across the capacitor.Hint: See of Section 7.1.(b) Find the general solution of Eqs. (i) in terms of real-valued functions.(c) Find I(t) and V(t) if I(0) = 2 A and V(0) = 3 V.(d) Determine the limiting values of I(t) and V(t) as t . Do these limiting valuesdepend on the initial conditions?

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X = Independent Variable Y = Dependent Variable EX: X = study hours = independent Y = grades = dependent variable Explanatory Variablindependent variable or X Response variableDependent variable or y !!!!ALWAYS QUANTITATIVE DATA!!!! If x increases, y increases If x increases, y decreases Scatter plot forms ; ● Linear ● Curve ● Scatter OUTLIERS!!! Correlations :r The closer the datas are the stronger the relationship The closer the datas are together the closer it is to +1 in a positive correlation r has no unit of measure! R only describe linear relationships non­resistant resistant

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Chapter 7.6, Problem 25 is Solved
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Textbook: Elementary Differential Equations and Boundary Value Problems
Edition: 10
Author: William E. Boyce
ISBN: 9780470458310

Elementary Differential Equations and Boundary Value Problems was written by and is associated to the ISBN: 9780470458310. The full step-by-step solution to problem: 25 from chapter: 7.6 was answered by , our top Math solution expert on 12/23/17, 04:36PM. The answer to “Consider the electric circuit shown in Figure 7.6.6. Suppose that R1 = R2 = 4 ,C = 12 F, and L = 8 H.(a) Show that this circuit is described by the system of differential equationsddt IV=12 182 12 IV, (i)where I is the current through the inductor and V is the voltage drop across the capacitor.Hint: See of Section 7.1.(b) Find the general solution of Eqs. (i) in terms of real-valued functions.(c) Find I(t) and V(t) if I(0) = 2 A and V(0) = 3 V.(d) Determine the limiting values of I(t) and V(t) as t . Do these limiting valuesdepend on the initial conditions?” is broken down into a number of easy to follow steps, and 106 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 2039 solutions. This textbook survival guide was created for the textbook: Elementary Differential Equations and Boundary Value Problems, edition: 10. Since the solution to 25 from 7.6 chapter was answered, more than 691 students have viewed the full step-by-step answer.

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Consider the electric circuit shown in Figure 7.6.6.