So this would satisfy this equation, but it would not satisfy this equation.

That'll satisfy this equation.

It is this equation.

Let's use this equation.

Let's solve this equation.

This is an equation

And I can put it in this simple equation.

But there's an extra symbol in this equation H.

This is an exact equation.

This first equation looks a

This equation describes gradient descent.

And this is an equation.

But this is an equation.

Enter the equation you want to balance in this field.

And, in the last video, we had this differential equation.

I won't revise this equation, but this is the fundamental equation that governs when things are in focus, for a lens.

This is the equation plus c.

left hand side of this equation.

An exact equation looks like this.

So let's just rearrange this equation.

But this is our characteristic equation.

This is the exact same equation.

Let's rewrite this equation up here.

That's the equation of this line.

So let's just solve this equation.

We have solved this differential equation.

This was the original differential equation.

So let's first separate this equation.

And if you link this N, is in the denominator of this equation.

What is the equation of this line in slope intercept form?

There's no x in the universe that can satisfy this equation.

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

This is the only equation in the talk by the way.

Equation

Equation

Equation

So let's apply the quadratic equation to this equation that we just wrote down.

And this is called the characteristic equation.

Let's substitute this into our original equation.

line is a solution to this equation.

So let's graph this purple equation here.

This is an equation that's called backup.

All of these match this mathematical equation.

Same drill when we graph this equation.

If they said, solve this equation, right?