Separable equations.

So that's separable.

Peace and development are not separable.

And we get a separable second order differential equation.

Then I can make a variable substitution that makes it separable.

That turned it into a separable equation in terms of v.

This is a separable equation in terms of v and x.

And this is actually a separable differential equation in and of itself.

And that variable substitution allows this equation to turn into a separable one.

little bit to see if it's separable, because that's always the most straightforward way.

That makes sense, because the separable differential equations are really just implicit derivatives backwards.

But anyway, hopefully at this point you have a pretty good sense of separable equations.

And this first class of differential equations I'll introduce you to, they're called separable equations.

And let's say we try to do this, and it's not separable, and it's not exact.

I think it's reasonable to do one more separable differential equations problem, so let's do it.

Using just your first year calculus derivative and integrating skills, you can solve a separable equation.

But if you look here, you actually could have figured out that this is actually a separable equation.

So we get mu over x, this is just a separable equation now, is equal to d mu dx.

And let's see, we want it to be separable, so let's put all the v's on the left hand side.

So the first separable differential equation is dy over dx is equal to x squared over 1 minus y squared.

If it's not separable, but you can still put it in this form, you say, hey, is it an exact equation?

And you can, if you'd like, you can try to make this a separable, but it's not that trivial to solve.

This is where we just get our algebra hat on, and try to simplify until it's a separable equation in v.

Or another way to think about it is whenever you took an implicit derivative, the end product was a separable differential equation.

And I know we did a couple already, but another way to think about separable differential equations is really, all you're doing is implicit differentiation in reverse.

And the reason why they're called separable is because you can actually separate the x and y terms, and integrate them separately to get the solution of the differential equation.

So once we solve this differential equation, and this is a separable differential equation, then we can use this initial condition, when x is 0, y is 1, to figure out the constant.

This is well, I don't know if it's an exact equation yet, but if you saw something of this form, your first impulse should be, oh well, actually, your very first impulse is, is this separable?

The term includes such a weapon or device in unassembled and partly assembled forms, but does not include the means of transport or delivery of such a weapon or device if separable from and not an indivisible part of it

The term includes such a weapon or device in unassembled and partly assembled forms, but does not include the means of transport or delivery of such a weapon or device if separable from and not an indivisible part of it

A phrase that is often used to describe the relationship between the EU forces and NATO is separable, but not separate The same forces and capabilities form the basis of both EU and NATO efforts, but portions can be allocated to the European Union if necessary.

4.3 The State party also maintains that the basis of the discrimination alleged by the author is incorrect, since he does not compare two treaties but non separable parts of two treaties, in this instance the part relating to the determination of the pension by Spain.