Examples of using Exact equation in English and their translations into Thai
{-}
-
Colloquial
-
Ecclesiastic
-
Ecclesiastic
-
Computer
Exact equations.
This is an exact equation.
An exact equation looks like this.
And what's an exact equation?
Well now, first of all, just as a reality check, let's make sure that this is now an exact equation.
And what does an exact equation look like?
Now I introduce you to the concept of exact equations.
So we now have an exact equation whose solution should be the same as this.
And then solve it as an exact equation.
Another way of rewriting this exact equation is to say four to the x power is equal to sixty-four.
So we are dealing with an exact equation.
And when you study exact equations in differential equations, you will see this a lot more.
So this is the whole point of exact equations.
So if this is an exact equation, if this is the exact equation, if we were take the partial of this, with respect to y, right?
I haven't told you yet what an exact equation is.
And if it's an exact equation, that tells us that there exists a psi, such that the derivative of psi of x, y is equal to 0, or psi of x, y is equal to c, is a solution of this equation. .
One, how do I know that it's an exact equation?
Because you're going to find, it's fairly straightforward to solve exact equations, but the intuition is a little bit more-- well, I don't want to say it's difficult, because if you have the intuition.
And now we need to prove to ourselves that this is an exact equation.
So the way to figure out is it an exact equation, is to use this information right here.
So that is actually the test to test if this is an exact equation.
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?
And actually, we don't have to use exact equations here.
If it is an exact equation-- and I will show you how to test it in a second using this information-- then this can be written as the derivative of some function, psi, where this is the partial of psi, with respect to x.
But if you see this form, you say, boy, maybe it's an exact equation.
I think it's important to point out at this stage, that these exact equations have also been shown to be perfectly able at describing what happens between two countries in an arms race.
I will see you in the next video, where we will actually solve some exact equations See.
This mu of x is-- when we multiply it, the goal is, after multiplying both sides of the equation by it, we should have an exact equation.
And we're going to use this property in the next series of videos to understand exact equations a little bit more.
And frankly, if that was what was recently covered before the current exam, it probably is an exact equation.

