Can You Pull Out 1/dx in Differential Equations?

[RandomGuy88]

I am wondering if this is valid.

(de/dx) + (1/p)(dP/dx) = (1/dx)(de +(1/p)dP)

Basically are you allowed to pull a 1/dx out of the equation?

 

[l'Hôpital]

What would 1/dx even mean?

 

[Pengwuino]

Yes it is possible, although a mathematician would not like it . There are certain requirements the function must meet before you are allowed to treat the differentials like parts of a fraction which I don't know off the top of my head.

 

[RandomGuy88]

Thanks for the replies. I am not sure what 1/dx would mean. In fact that is why I am asking this question, because I didn't think it would mean anything and therefore is wrong.

 

[Pengwuino]

Let's say I have {df \over dt} = 3t^2 and you just pulled out the 1/dt to get {1 \over {dt}}(df) = 3t^2. There is nothing special going on.