×
×

# In this problem we outline a proof of Theorem 7.4.3 in the case n = 2. Let x(1) and x(2)

ISBN: 9781119256007 392

## Solution for problem 8 Chapter 7.4

Elementary Differential Equations and Boundary Value Problems | 11th 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 | 11th Edition

4 5 1 313 Reviews
18
0
Problem 8

In this problem we outline a proof of Theorem 7.4.3 in the case n = 2. Let x(1) and x(2) be solutions of equation (3) for < t < , and let W be the Wronskian of x(1) and x(2) . a. Show that dW dt = ________ dx(1) 1 dt dx(2) 1 dt x(1) 2 x(2) 2 ________ + ________ x(1) 1 x(2) 1 dx(1) 2 dt dx(2) 2 dt ________ . b. Using equation (3), show that dW dt = ( p11 + p22)W. c. Find W(t) by solving the differential equation obtained in part b. Use this expression to obtain the conclusion stated in Theorem 7.4.3. d. Prove Theorem 7.4.3 for an arbitrary value of n by generalizing the procedure of parts a, b, and c.

Step-by-Step Solution:
Step 1 of 3

Chapter 1: Basic Ideas 1.1: Sampling Lecture Notes 1/9/17 STATISTICS → math discipline; study of procedures for collecting and describing data and drawing conclusions from the obtained information POPULATION vs SAMPLE → population: entire set of individuals → sample: subset of population SIMPLE RANDOM SAMPLE (SRS) → sample chosen by a method where each collection...

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution