### Author Topic: Ch.1.2(16)  (Read 167 times)

#### Emman Subhani

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##### Ch.1.2(16)
« 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?

« Last Edit: January 22, 2023, 03:31:00 PM by Victor Ivrii »

#### Victor Ivrii

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##### Re: Ch.1.2(16)
« Reply #1 on: January 22, 2023, 03:32:12 PM »
Part $u$ is also linear and homogeneous\$. Thus the correct and precise answer is linear homogeneous.