Author Topic: S2.3 Problem 8  (Read 558 times)

MikeMorris

  • Jr. Member
  • **
  • Posts: 6
  • Karma: 0
    • View Profile
S2.3 Problem 8
« on: January 27, 2019, 06:42:08 PM »
In this question, the initial conditions are not given for $t = 0$, as we've discussed in class, but instead for $t = \frac{x^{2}}{2}$. I have no idea how to approach this. Could someone please help?

Victor Ivrii

  • Administrator
  • Elder Member
  • *****
  • Posts: 2467
  • Karma: 0
    • View Profile
    • Personal website of Victor Ivrii
Re: S2.3 Problem 8
« Reply #1 on: January 27, 2019, 07:09:03 PM »
Find the general solution and then plug to initial conditions

JUNJING FAN

  • Jr. Member
  • **
  • Posts: 13
  • Karma: 0
    • View Profile
Re: S2.3 Problem 8
« Reply #2 on: February 05, 2019, 07:57:09 PM »
Find the general solution and then plug to initial conditions
Hello professor, could u give me a hint as to why we have to impose the restriction for absolute value of x to be smaller or equal to 1?

Victor Ivrii

  • Administrator
  • Elder Member
  • *****
  • Posts: 2467
  • Karma: 0
    • View Profile
    • Personal website of Victor Ivrii
Re: S2.3 Problem 8
« Reply #3 on: February 05, 2019, 09:14:53 PM »
[quoute]Hello professor, could u give me a hint as to why we have to impose the restriction for absolute value of x to be smaller or equal to 1?[/quote]
Draw characteristic lines and plot $t=x^2/2$