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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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Just look into any undergraduate level book on ODEs and you will find lots of examples. Or check wiki... (1 comment)
Do they have to be first order ordinary differential equations? (2 comments)

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