### Author Topic: Quiz 1 - Variant 2E - Problem 1  (Read 283 times)

#### Gavrilo Milanov Dzombeta

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##### Quiz 1 - Variant 2E - Problem 1
« on: January 29, 2021, 10:34:47 AM »
Consider first order equations and 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:
$$u_t +u^2_x + u^2_y = 0.$$
$$\text{The equation is nonlinear homogeneous}$$
« Last Edit: January 29, 2021, 10:56:47 AM by Gavrilo Milanov Dzombeta »

#### Victor Ivrii

Indeed, this equation has $u=0$ as a solution but the notion of "homogeneou"s does not apply to nonlinear.