What is the meaning of [tex]\;\;\frac{\partial u}{\partial t}(x,0)[/tex](adsbygoogle = window.adsbygoogle || []).push({});

Is it equal to [tex]\;\;\frac{\partial u(x,t)}{\partial t}\;\;first\;then\;set\;t=0[/tex]

or [tex]\;\;\;\frac{\partial u(x,0)}{\partial t}\;\;[/tex] Which is setting t=0 in u(x,t) first then differentiate?

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# Clarification of PDE notation

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