Toronto Math Forum

APM346-2023S => APM346--Lectures & Home Assignments => Chapter 1 => Topic started by: Emman Subhani on January 22, 2023, 10:54:52 AM

Title: Ch.1.2(16)
Post by: Emman Subhani on January 22, 2023, 10:54:52 AM

$$u_{t} + u_{xxxx} + u=0 \tag{1.2.16}$$
I understand that the first part of the equation ( $u_t +u_{xxxx}$) is definitely Linear Homogenous. However, the $u$ in the last part is confusing me and I am stuck between two answers - linear homogenous or semi linear?

Title: Re: Ch.1.2(16)
Post by: Victor Ivrii on January 22, 2023, 03:32:12 PM

Part $u$ is also linear and homogeneous$. Thus the correct and precise answer is linear homogeneous.