Question

what is the laplace in diff equations

Answer 1

Where d2f/dx2 + d2f/dy2 = 0

Answer 2

I want a brief explanation of the meaning of this term
I tried to look for it did not find it

Answer 3

Laplace could mean two things.

You could be talking about the Laplace transform which is an integral transform usefull in reducing certain differential equations. It works such that it transforms a function \(f(t)\) into \(F(s)\) by the following relation:
\[\phantom{Gooboogabagooboogabagooboogaba}F(s)=\int^\infty_0f(t)e^{-st}\]
Laplace could be also referring to "Laplace's equation" which is any differential equation of the following sorts:
\[\phantom{Gooboogabagooboogabagooboogabagoo}\frac{\partial^2f}{\partial x^2}+\frac{\partial^2f}{\partial y^2}=0\]

Answer 4

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