Chapter 17.1, Problem 2E

### Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

Chapter
Section

### Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

# Solve the differential equation.2. y" – 6y' + 9y = 0

To determine

To solve: The differential equation of y6y+9y=0.

Explanation

Formula used:

The general solution of the differential equation ayâ€³+byâ€²+cy=0 with two same real roots is given by,

y=c1erx+c2xerx

Calculation:

Compare the given differential equation yâ€³âˆ’6yâ€²+9y=0 with the general form of the differential equation.

The values of the constants are a=1,b=âˆ’6â€‰andâ€‰c=9.

Thus, the auxiliary equation is r2âˆ’6r+9=0.

Solve the equation and find the value of r.

r2âˆ’6r+9=0(râˆ’3)2=0â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started