Let's say I have a line, let me make it a straight line.

So the slope is equal to minus 3.

No? Nonlinear equations?

And this is where I'm trying to go.

This cancels with this.

Independently targeting particlebeam Phalanx.

The beam splitters and lenses are represented by physical objects, and the system projects down the laser beam path.

Suppose we give a data set of positive samples and negative samples.

So hopefully you found that interesting.

linear equations right here.

Let's draw our asymptotes.

(Laughter)

So the equation of the line is y is equal to 1 2 x minus 1.

We figured out that b is equal to 1 4, 0, 1 4.

So we get minus one three is the y intercept.

So this example I just wrote here, this is a second order

Google the App Engine Datastore actually has some of these limitations.

It's completely intuitive there's no instruction manual.

In the 1930s,

solve the systems of linear equations by graphing. and they give us two equations here.

The slope is change in y over change in x.

And you know, the actual letters I chose don't matter.

The simplest polynomial is just a constant, and it would just be a horizontal line someplace.

And the first class that I'm going to show you and this is probably the most useful class when you're studying classical physics are linear second order differential equations.

So let's see what we have so far for the equation of this line.

So this equation right here at first it doesn't look like a straightforward linear equation

Hit me.

A line has a slop of negatave 3 4ths, and goes through the point (0,8).

And here, you might recognize that these are just two

OK, which inequality is shown on the graph below?

So I'll go into more depth in that in a future video.

So it's going to be b minus a.

So these I guess you could call it these are the equations of a line in three dimensions.

You have your order, so what is the order of my differential equation?

Let's do one more homogeneous differential equation, or first order homogeneous differential equation, to differentiate it from the homogeneous linear differential equations we'll do later.

So you get y minus b plus k over 2 is equal to 1 over 2 times b minus k, times x minus a squared.

So the first thing to figure out about this hyperbola is, what are its asymptotes?

We have so much technology nowadays that these interfaces should start conforming to us.

They cancel out, and then we got rid of the y squared so all of a sudden this is starting to look a lot more like a parabola because this is now an equation that relates y's to an x squared.

We have perception, computation and non visual interfaces.

So, the predicted score on y was the regression constant, or the intercept, and the slope times an individual's score on x.

Let's say I have the point one comma two, and I have the point three comma four, and I want to figure out the equation of the

1, 2, 3.

A parabola looks something like this, kind of a U shape and you know, the classic parabola.

Now, all of the sudden, I have a non linear differential equation.