Understanding the Strong Form of Flux Conservation Law

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The strong form of the flux conservation law is defined as d/dx(c du/dx) + f(x) = 0, where the flux of a conserved quantity is represented by q(x) = -x² (du/dx) - u. In this discussion, the source term is specified as f(x) = x. The participant expresses difficulty in understanding how to apply these concepts, indicating a need for clearer examples and explanations.

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1. The flux of a conserved quantity can be written
q(x) = -x2 (du/dx)-u
If the source term is f(x) = x, write the strong form of the conservation law.

I know the form of the strong form is : d/dx(c du/dx)+f(x)=0

I have no idea where to begin for this problem. The examples my professor gave us in class don't help at all. I've tried searching elsewhere online for a better explanation, with no luck.
Please help
Thanks
 
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Anyone? I still have no idea where to even start.
 

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