Toronto Math Forum
Welcome,
Guest
. Please
login
or
register
.
1 Hour
1 Day
1 Week
1 Month
Forever
Login with username, password and session length
News:
Home
Help
Search
Calendar
Login
Register
Toronto Math Forum
»
APM346-2023S
»
APM346--Lectures & Home Assignments
»
Chapter 4
»
When is it a good idea to assume solutions are separable?
« previous
next »
Print
Pages: [
1
]
Author
Topic: When is it a good idea to assume solutions are separable? (Read 5533 times)
Issra
Newbie
Posts: 2
Karma: 0
When is it a good idea to assume solutions are separable?
«
on:
February 23, 2023, 07:56:27 PM »
When is it a good idea to assume solutions are separable? Are there any implied assumptions about the nature of the solutions when we assume that they are separable?
Logged
Victor Ivrii
Administrator
Elder Member
Posts: 2607
Karma: 0
Re: When is it a good idea to assume solutions are separable?
«
Reply #1 on:
February 27, 2023, 09:28:36 AM »
If domain is "simple" in the appropriate coordinate system it is a good idea to try to find such solutions. For linear equations we even can construct general solutions as linear combinations of such solutions. Details in the class later.
Logged
Print
Pages: [
1
]
« previous
next »
Toronto Math Forum
»
APM346-2023S
»
APM346--Lectures & Home Assignments
»
Chapter 4
»
When is it a good idea to assume solutions are separable?