×
Get Full Access to Elementary Differential Equations And Boundary Value Problems - 10 Edition - Chapter 7.6 - Problem 25
Get Full Access to Elementary Differential Equations And Boundary Value Problems - 10 Edition - Chapter 7.6 - Problem 25

×

# Consider the electric circuit shown in Figure 7.6.6. ISBN: 9780470458310 168

## Solution for problem 25 Chapter 7.6

Elementary Differential Equations and Boundary Value Problems | 10th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Elementary Differential Equations and Boundary Value Problems | 10th Edition

4 5 1 415 Reviews
29
0
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?

Step-by-Step Solution:
Step 1 of 3

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

Step 2 of 3

Step 3 of 3

##### 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.

Unlock Textbook Solution