Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
I have the following example from a differential equations course, what I dont understand is how are you allowed to substitute A into the equation without any reason and why is it not put back in the end? This way seems easier but I dont understand the motivation behind A

I have the following example from a differential equations course, what I dont understand is how are you allowed to substitute A into the equation without any reason and why is it not put back in the end? This way seems easier but I dont understand the motivation behind A

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

I have the following example from a differential equations course, what I dont understand is how are you allowed to substitute A into the equation without any reason and why is it not put back in the end? This way seems easier but I dont understand the motivation behind A

Eq) solve de la ау da Aros. = у-аху dy = y(1-4x) Say = √(-4x) dx ✓ duly) = x-2x² +c y(c) = e ² y = € ex-2x ²6 x-2x² = A é using IC, y(a) = e G e= Aeº = A =e y=e'ex-2 x-2x²+1
Transcribed Image Text:Eq) solve de la ау da Aros. = у-аху dy = y(1-4x) Say = √(-4x) dx ✓ duly) = x-2x² +c y(c) = e ² y = € ex-2x ²6 x-2x² = A é using IC, y(a) = e G e= Aeº = A =e y=e'ex-2 x-2x²+1
Expert Solution
steps

Step by step

Solved in 3 steps with 12 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

When is it allowed to use arbitrary constants in differential equations? So you dont need to substitute it back to its orginal form?

Solution
Bartleby Expert
SEE SOLUTION
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,
SEE MORE TEXTBOOKS