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

From this equation right here.

So one you do to one side of an equation you have to do to the other side of the equation.

Subtract six from both sides.

left hand side of the equation.

Otherwise you're changing the equation.

lefthand side of the equation.

And then we can subtract 10 from both sides and write this into a traditional quadratic equation form

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

Equation

Gadolinium

Dysprosium

y rotation

z rotation

Neutron

Equation

The equation

And of course I can't just add something to one side of the equation, that would change the equation.

left hand side of this equation.

Let's go from this equation.

That's actually where the quadratic equation comes from.

But if I do it on the left hand side of the equation, I have to do it on the right hand side of the equation.

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

Now whats this second equation become?

Now, to solve this, we just divide both sides of this equation by 3.

Equation, it comes from the notion of equality.

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 that part of the quadratic equation.

So if you subtract 2 from both sides of the equation, the

So if you subtract x from both sides of this equation, the

That does simplify a little bit.

Subtract y squared from both sides of the equation.

So lets just think about the first part over here

And just visually, how can we figure out the length of the blue part. If we know the length of this orange part and we know the length of this yellow part. Well, it's just going to be the difference.

You can verify that on the equation.

Subtract 5x squared from both sides of the equation.

I just subtracted these from both sides of the 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?