Notation for separable partial differential equations
Hey.. I ran across some problems and the notation used is a little different from what I've seen before.
considering U(x,y)=X(x)Y(y) Sometimes I'll see U_{xx} for [tex]\frac{d^{2}u}{dt^{2}}[/tex] which equals X''Y Or U_{x} for [tex]\frac{du}{dt}[/tex] which equals X'Y But what about U'_{x} Is that a redundant way of saying the partial derivative of U with respect to x? Or is it saying the derivative of the partial derivative of U with respect to x? As I originally read it, I considered it X'Y, but now I'm wondering if maybe its X"Y. Thanks! 
Re: Notation for separable partial differential equations
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U_{xx} for [tex]\frac{\partial^{2}u}{\partial x^{2}}[/tex] or U_{x} for [tex]\frac{\partial u}{\partial x}[/tex] Quote:

Re: Notation for separable partial differential equations
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The context would be partial differential equations using separation of variables. For example: [tex]U^{'}_{x}=U^{'}_{y}+U[/tex] 
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