Toronto Math Forum

APM346--2019 => APM346--Lectures & Home Assignments => Home Assignment 3 => Topic started by: MikeMorris on January 27, 2019, 06:42:08 PM

Title: S2.3 Problem 8
Post by: MikeMorris 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?

Title: Re: S2.3 Problem 8
Post by: Victor Ivrii on January 27, 2019, 07:09:03 PM

Find the general solution and then plug to initial conditions

Title: Re: S2.3 Problem 8
Post by: JUNJING FAN on February 05, 2019, 07:57:09 PM

Quote from: Victor Ivrii on January 27, 2019, 07:09:03 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?

Title: Re: S2.3 Problem 8
Post by: Victor Ivrii 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 $t=x^2/2$