### Author Topic: S2.3 Problem 8  (Read 2423 times)

#### MikeMorris

• Jr. Member
• Posts: 6
• Karma: 0
##### 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

• Elder Member
• Posts: 2599
• Karma: 0
##### 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
##### 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

Draw characteristic lines and plot $t=x^2/2$