Author Topic: f(x) in Method of Characteristics  (Read 202 times)

Yifei Hu

  • Full Member
  • ***
  • Posts: 15
  • Karma: 0
    • View Profile
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 »

Victor Ivrii

  • Administrator
  • Elder Member
  • *****
  • Posts: 2599
  • Karma: 0
    • View Profile
    • Personal website of Victor Ivrii
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)