What is the meaning of $\displaystyle \;\;\frac{\partial u}{\partial t}(x,0)$ Is it equal to $\displaystyle \;\;\frac{\partial u(x,t)}{\partial t}\;\;then\;set\;x=0$ or $\displaystyle \;\;\;\frac{\partial u(x,0)}{\partial t}$
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Originally Posted by yungman What is the meaning of $\displaystyle \;\;\frac{\partial u}{\partial t}(x,0)$ Is it equal to $\displaystyle \;\;\frac{\partial u(x,t)}{\partial t}\;\;then\;set\;x=0$ or $\displaystyle \;\;\;\frac{\partial u(x,0)}{\partial t}$ It means the first. You can't calculate $\displaystyle \;\;\;\frac{\partial}{\partial t}\left( u(x,0) \right).$
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