Equation

Gadolinium

Dysprosium

y rotation

z rotation

Neutron

Equation

The equation

So let me replace this guy with this equation minus that equation.

Now whats this second equation become?

But it won't be the case, because you can actually just subtract this equation, from the bottom equation, from the top equation.

So let me write the equation that both of them satisfy.

Now we add 13 to both sides of this equation.

This differential equations problem was literally just a problem in using the quadratic equation.

Equation Balancer

Cartesian Equation

Polar Equation

Equation Editor

What's the formula?

That is that equation right here.

So let's solve this.

Equation B.

Characteristic equation.

There's something slightly different about this equation than that equation.

Is there anything about this equation that seems a little bit different than the last?

And then we can just square both sides of this equation.

So the solutions to this equation are the same as the solutions to this equation.

The way you solve quadratic equations is you get everything on one side of this equation and then you either factor it out, or more likely in the situation, you will use the quadratic formula which we proved in other videos, hopefully, giving you the intuition for it to actually solve for the times where your displacement in the vertical direction is 16 m

Let's add 32 to both sides of this equation.

Expanded Cartesian Equation

Take the characteristic equation.

The statement is never true.

So let's set up the equation.

And what does our equation become?

Simplify our situation a little bit.

It is this equation.

They give the following equation.

So now let's just solve this equation right there.

Let's use this equation.

We've created the equation.

But this is really the equation.

The next equation as well...

So plus 7 to both sides of this equation.

What does our equation become?

What does this equation become?