- #1
miniradman
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Homework Statement
Find the solution of each of the following partial differential equation
[itex]\frac{\partial^{2}u}{\partial x^{2}} = 0[/itex]
Homework Equations
assume the product form?
[itex] u(x,y) = f(x)g(y)[/itex] ? (not 100% sure)
The Attempt at a Solution
Hello, I'm only new to PDEs and I was wondering what kind of algorithm is used to solve a function such as this (with no boundary conditions).
I have the solution which states that
therefore:
[itex]\frac{\partial u}{\partial x} = f(y)[/itex]
therefore:
[itex]u(x,y) = xf(y)+g(y)[/itex]
but I cannot see the intuition behind this, does anyone know?