No? Nonlinear equations?

This cancels with this.

So hopefully you found that interesting.

linear equations right here.

In the 1930s,

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

So we get minus one three is the y intercept.

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

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 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.

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.

And here, you might recognize that these are just two

OK, which inequality is shown on the graph below?

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.

So one way to solve these systems of equations is to graph both lines, both equations, and then look at their intersection.

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.

Why are there so many wires?

But when you're dealing in R3, the only way to define a line is to have a parametric equation.

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

So the slope is equal to minus 3.

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

The answer is 95.

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

So this is in R3.

I gave you to higher dimensional spaces, but I would recommend just not to worry about this.

And this is where I'm trying to go.

Method

A system?

I would say a lot easier than what we did in the previous first order homogeneous difference equations, or the exact equations.

I'm very worried about the African front.

This is dummy wiring.

Independently targeting particlebeam Phalanx.

But anyway, these are useful properties to maybe internalize for second order homogeneous linear differential equations.

So if you watch the videos on parametric equations, this is just a traditional parametric definition of this line right there.

But as we will see we can simplify this to turn it into a linear equation.

Sensing method

EAP method

Equation