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$$ R_1C \frac{dv_o(t)}{dt} + v_o(t) = -R_2C \frac{dv_{in}(t)}{dt} $$

How should this Differential Equation be classified? It almost resembles the form of a Linear Differential Equation, but the differential on the right hand side leads me to believe otherwise.

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    It is linear as long as $v_{in}'(t)$ does not depend _nonlinearly_ on $v_0(t)$ or $v_0'(t)$.2012-10-30
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    Okay, I think that makes sense (since $v'_{in}(t)$ could be a first order term). Would this then be solvable using the Method of Integrating Factors, or would I need to find another method?2012-10-30
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    Method of integrating factor indeed. The thing is that, due the presence of the derivative, you'll be able to do an integration by parts.2012-10-30
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    Awesome, thanks indeed!2012-10-30

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