8 Second Order Equations with Repeated Roots See also: Section 3.4 in Boyce and DiPrima or 2.2.2 in Braun Solve the following differential equations: 8.1. 4y" +12y + 9y = 0 8.2. y' 6y +9y=0 8.3. 9y" + 6y + y = 0, y(0) = 1, y'(0) = 2 8.4. y' + 4y + 4y = 0, y(-1) = 2, y'(-1) = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Solve 8.4 please

8 Second Order Equations with Repeated Roots
See also: Section 3.4 in Boyce and DiPrima or 2.2.2 in Braun
Solve the following differential equations:
8.1. 4y" +12y + 9y = 0
8.2. y' 6y +9y=0
8.3. 9y" + 6y + y = 0, y(0) = 1, y'(0) = 2
8.4. y' + 4y + 4y = 0, y(-1) = 2, y'(-1) = 1
Transcribed Image Text:8 Second Order Equations with Repeated Roots See also: Section 3.4 in Boyce and DiPrima or 2.2.2 in Braun Solve the following differential equations: 8.1. 4y" +12y + 9y = 0 8.2. y' 6y +9y=0 8.3. 9y" + 6y + y = 0, y(0) = 1, y'(0) = 2 8.4. y' + 4y + 4y = 0, y(-1) = 2, y'(-1) = 1
Expert Solution
Step 1: Determining the solution.

Advanced Math homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,