## Integration

How should I integrate this differential equation?

dQ/dt = 10 - 10Q/(500 - 5t)

I hope someone can help me.
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 Isn't that equation linear in Q? If you know your Ordinary Differential Equations of Order 1 then there should be no problem. ^^;

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## Integration

Variables can be separated for the homogenous equation,indeed.And then Lagrange's method would work for the nohomogeneity function.

Daniel.

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 Can you explain to me why this equation is not linear in Q? I mean, the equation can be put into the form: $$\frac{dQ}{dt} + \frac{10}{500 - 5t} \cdot Q = 10$$ Which to me looks like it's linear in Q...