Question

classify the partial differential equation Uxx + Uyy = F(x,y)​

Answer 1

Answer:

U x x + U y y = F ( x,y)

U = 0

y = 38

x = 0

Answer 2

The partial differential equation Uxx + Uyy = F(x,y)​ is a 2-D laplacian equation.

Partial differential equation

• A differential equation is one that has one or more functions and its derivative.
• A partial differential equation or PDE is a type of DE. It contains many unknown functions and their partial derivatives too.
• PDE has many different types based on the number of variables and their derivatives present. For example, 1-D, 2-D Laplace PDE etc.

• Since the given equation is of the type :Uxx + Uyy = 0. It is a 2-D laplacian partial differential equation.  It is a 2-D laplacian partial differential equation. It is a type of linear and homogenous partial differential equation.

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