How do you distinguish a differential equation if it is separable or not?

Question

loser66 · Answer

particular problem, please.

anonymous · Answer

please give examples

loser66 · Answer

It has the form of $$\dfrac{dy}{dx}= \dfrac{P(x)}{Q(x)}$$

loser66 · Answer

each kind of them has its own standard form, need note?

anonymous · Answer

can you give an example of inseparable equation?

loser66 · Answer

My note is quite clear. Look up what you want, just 1 page of them

loser66 · Answer

including example there. hihihi.... I am not a smart one, so that I am carefully take note on all my stuff.

ganeshie8 · Answer

separable :
$$\dfrac{dy}{dx} = \dfrac{y}{x}$$

inseparable :
$$\dfrac{dy}{dx} = \dfrac{y}{x} + 1$$

anonymous · Answer

Most of the time, it's obvious when you can see that dy/dx = P(x) Q(x) 

Other times you must do some algebraic manipulation like factor, canceling, ect... to get the form above

anonymous · Answer

sorry I meant dy/dx = P(x) Q(y)

anonymous · Answer

okay thanks guys! :D