# Monthly Archives for March 2013

## Proof of separation of variables

Let’s say we have a differential equation: $$f(y) \dod{y}{x} = g(x)$$ Separation of variables says that we can simply “split” the derivative $\dod{y}{x}$ and write $$f(y) \dif{y} = g(x) \dif{x}$$ Then, we can integrate both sides: \begin{gather*} \int f(y) \dif{y} … Continue reading

15. March 2013 by Casey