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## Homework Statement

I'm having difficulty deriving the differential equation, this is what I have so far. In order to solve it, I will be using Matlab, and I'll be using the equation dy/dx ≈ (y(x + dx) - y(x))/dx. Is my derivation correct so far?

## Homework Equations

In picture.

## The Attempt at a Solution

If it's correct, do I just need to make DVout/dt the subject, then apply the approx. derivative equation to then calculate the values?

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