Notice that the power is connected to the differential at the center line.

This dy is differential. dx is a differential.

What's a differential?

Homogeneous differential equation.

Math, differential equations.

But this you could almost use differential notation. dy is a differential and dx is a differential.

So the differential equations.

Here's differential productivity rates.

It is called the differential,

What does a differential mean?

Differential equations are something different.

least the solvable differential equations.

We're solving a differential equation.

What is a 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.

That's what a differential essentially is.

So what is a differential equation?

So, they have this differential ? derivative. ?

We have solved this differential equation.

This was the original differential equation.

And even within differential equations, we'll learn later there's a different type of homogeneous differential equation.

What does a homogeneous differential equation mean?

How does this relate to word differential ?

making math matter differential equations in action.

Partial differential equations we'll get into later.

Let's say this is my differential equation.

Multiply it times our original differential equation.

Can the differential term solve this problem?

We'll now move from the world of first order differential equations to the world of second order differential equations.

When we put our differential in an automobile, we have to leave room for the driveshaft, which carries the power from the engine.

So let's say this is my differential equation.

So, for example, this is a differential equation.

So how do we solve this differential equation?

You're saying what function satisfies this differential equation.

A little bit of differential, but not much.

This is the fifth edition of Elementary Differential

Their communication is maintaining positions of differential advantage.

All of that dA, the differential of area.

See, they have this as a differential equation.

That's true with regular equations or differential equations.

And it is a marvelous example of how a differential in power can be overridden by a process of nature that's within all of us.

The differential equation must be at least first order

So what is a linear second order differential equation?

Now we have the working principals of a differential.

But let's solve this properly as a differential equation.