Multiply it times our original differential equation.

We established that the inverse Laplace transform of that big thing that I had written before, 2 times s minus 1 times e to the minus 2 sorry, e to the minus 2s over s squared minus 2s plus 2 is equal to this thing where f of t is this.

We know the exponential function.

What we learn is that if it can be homogeneous, if this is a homogeneous differential equation, that we can make a variable substitution.

Let's do the inverse Laplace transform of the whole thing.

And this is actually going to be a big clue as to why

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

Thrun And the answer is 3200cm or 32 meters.

All we did is we multiplied both sides of this equation by x.

We're almost done.

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But we're done, we factored it.

let's ignore the 2.

And later, when you do inverse Laplace transforms and differential equations, it's much easier take an inverse

So their mass inequality causes asymmetry because of the beta decay and beta decay reactions that convert one into the other.

I think you know how to solve a differential equation, if you know how to take the Laplace transforms and go back and forth.

How can I convert my mailboxes from mbox to maildir?

So let's see if we can use this with this information to get a generalized formula.

Two thirds of the world's shale is in the US.

So using the derivative property of Laplace transform, we figured out the Laplace transform of cosine of a t and the Laplace transform of really any polynomial, right?

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We solved that seemingly inseparable differential equation by recognizing that it was homogeneous, and making that variable substitution v is equal to y over x.

The answer is 200 mm for our focal length.

So I think you see the pattern now.

Thrun And the answer is 40mm.

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And now, we can substitute the derivative of y with respect to x is just this.

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And then you would have gotten this number, and then you could convert it to a percent.

Now, there's two ways to do this.

Now I want you to think about that, does that make sense?

9x times 4 is equal to 36x, is equal to 405.