Question: non zero value for c

 

in maple how do i determine the non zero value of c so the function u(x,t)=c((exp(x-4t)+exp(4t-x))) also satisfies (∂u/∂t)+u(∂u/∂x)+(∂u/∂x)=0
 
this is my first class using maple so i need as much help as possible
thank you
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