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Inhomogenous differential equations in sciences

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A first order inhomogenous differential equation is :

$$ \frac{dy}{dx}+p(x)y(x) = q(x)$$

with $$ q(x)\neq0$$

I like studying applied math but I dont like pure math so im trying to find inhomogenous equations in sciences to make my studying interesting.What are examples of inhomogenous differential equations in sciences?

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Do they have to be first order ordinary differential equations? (2 comments)

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