Toronto Math Forum
APM3462020S => APM346Lectures and Home Assignments => Chapter 2 => Topic started by: Itzal on February 02, 2020, 08:02:12 PM

For questions 2 what does the last line of the given equations mean? The part is $u_{x=+0}=\alpha u_{x=0}$ and $u_x_{x=+0}=\beta u_x_{x=0}$. I don't know what this means or how to solve it with those parameters.

Since $u$ is defined for $x<0$ and for $x>0$, you calculate limits from the left ($u_{x=0}$) and from the right ($u_{x=+0}$). This is a standard notation