The Partial Differential Equation ∂²U/∂x² + ∂²U/∂y² = f (x,y) is known as? - IQ786

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The Partial Differential Equation ∂²U/∂x² + ∂²U/∂y² = f (x,y) is known as?

The Partial Differential Equation ∂²U/∂x² + ∂²U/∂y² = f (x,y) is known as?

Wave equation

Laplace equation

Poisson equation

None of these

Explanation

The given partial differential equation:

∂²U/∂x² + ∂²U/∂y² = f(x,y)

is known as the Poisson equation.

If f(x,y) = 0, it would reduce to the Laplace equation.