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I would like to know if any of you know about anything the equivalence of SI units for differential equations? For example, for the equation

E=mc^{2}SI units for RHS must equal LHS. I am wondering if this would apply to differential equations?

I recently came across a journal paper with the following forumula:

[tex]\frac{dP}{dx}=\beta P+C[/tex]

Where [tex]\beta [/tex], [tex]C[/tex], is a constant. [tex]x[/tex] is the length in metres

Now, P equals to the power (in W). In this case, can you evaluate both RHS and LHS in terms of SI units? It seems to me that both the LHS and RHS of this equation is not equivalent.

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# Equivalence of SI Units.

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