λ3 -3aλ2 +3a2λ - a3

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
100%

Initial question: Let a ∈ R. Find the solution of y'(x) -ay(x) = 0   (see answer in picture)

Task: use the above task to find a solution og this equation: y''' (x) -3ay''(x) -a3 y(x) = 0

Mark: (λ -a)3 = λ3 -3aλ2 +3a2λ - a3

Given,
у'х-аух-0
Using separation of Variables,
ух-аухdydx-a"yхdyуx-adxlnyx-ах+сух-сеах
The general solution of the Differential equation is
ух-сеах
Transcribed Image Text:Given, у'х-аух-0 Using separation of Variables, ух-аухdydx-a"yхdyуx-adxlnyx-ах+сух-сеах The general solution of the Differential equation is ух-сеах
Expert Solution
steps

Step by step

Solved in 2 steps with 1 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,