Author Topic: Quiz 1-0201 C Problem 1  (Read 262 times)

Jiaqi Bi

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Quiz 1-0201 C Problem 1
« on: January 28, 2021, 12:26:19 PM »
Problem 1: Determine if they are linear homogeneous, linear inhomogeneous, or nonlinear ($u$ is an unknown function); for nonlinear equations, indicate if they are also semilinear, or quasilinear:
$$u_t+xu_x=0$$
Solution:
This is linear homogeneous because it has $f(x)=0$ on the RHS, and $Lu$ is a partial differential expression linear, such that it contains only coefficient $1$ and $x$ for $u_t$ and $u_x$.

« Last Edit: January 29, 2021, 12:29:01 AM by Jiaqi Bi »