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
»
APM346-2022S
»
APM346--Lectures & Home Assignments
»
Chapter 2
»
f(x) in Method of Characteristics
« previous
next »
Print
Pages: [
1
]
Author
Topic: f(x) in Method of Characteristics (Read 3487 times)
Yifei Hu
Full Member
Posts: 15
Karma: 0
f(x) in Method of Characteristics
«
on:
February 01, 2022, 09:47:20 AM »
In solving the problem $2U_t+3U_x=0, U(0,x)=f(x)$, tutorial gave answer $U=f(x-\frac{3}{2}t)$ while I have $U=f(3t-2x)$. Are both answers valid? We can use different form of C as long as it represent the same family of characteristics right?
«
Last Edit: February 01, 2022, 09:51:54 AM by Yifei Hu
»
Logged
Victor Ivrii
Administrator
Elder Member
Posts: 2607
Karma: 0
Re: f(x) in Method of Characteristics
«
Reply #1 on:
February 01, 2022, 12:12:52 PM »
Yes, there are many answers which are correct because they include arbitrary functions (and in ODE arbitrary constants)
Logged
Print
Pages: [
1
]
« previous
next »
Toronto Math Forum
»
APM346-2022S
»
APM346--Lectures & Home Assignments
»
Chapter 2
»
f(x) in Method of Characteristics