So what's the derivative here?

It's just the derivative operator.

So let's see, this first one that our differential equation I'll do this one in blue our differential equation is the second derivative, y prime prime plus 4y prime plus 5y is equal to 0.

This right here is our derivative intuition module.

All it really is derivatives is the slope of the tangent line at any point.

What I've done here is what's called a derivation.

like a little squirrely thing is just the antiderivative.

The symbol formula_4 is traditionally used to denote the corresponding derivative formula_5.

What is cool about it is it really helps to conceptualize what a derivative is all about.

It says, ok you have done it right and it then drew the whole slope of the derivative and what the entire derivative is saying, is at any point this is the slope of the tangent line.

Welcome to the presentation on the indefinite integral or the antiderivative.

So y is equal to the antiderivative essentially, or the indefinite integral of the expression 2x.

Because d is the letter used for differential, I guess.

For example, this differential equation, I don't see an i anywhere here.

So now we'll actually be able to figure out a particular solution, or the particular solution, for this differential equation.

We have our particular solution to this sorry where did I write it to this differential equation with these initial conditions.

A derivation just means starting from some non terminal, follow the rules to derive a sequence of terminals.

And this is a word that appears throughout early mathematics, such as this 10th century derivation of proofs.

But given this differential equation, to get to the solution, we had to use imaginary numbers in between.

In this presentation, I actually want to show you how we can use the antiderivative to figure out the area under a curve.

A formula for the integrand may be known, but it may be difficult or impossible to find an antiderivative that is an elementary function.

If I were to take the derivative of the expression x squared this is an easy one if you remember the derivative presentation.

The first is comparison of case studies, the second is controlled comparison among variants of a common derivation, and the third is comparison within a sample of cases.

The news that has spread quickly in the Gaza street concerns the introduction of voluntary military recruitment then conscription for Gaza's citizens.

We learned that if the roots of our characteristic equation are r is equal to lambda plus or minus mu i, that the general solution for our differential equation is y is equal to e to the lambda x times c1 with some constant cosine of mu x, plus c2 times sine of mu x.

The rule numbers that will then have been written to the output stream will be 3, 5, 2 which is indeed a rightmost derivation of the string 1 1 in reverse.

So this will be equal to the indefinite integral, or the antiderivative, of 2 to the now u, so 2 to the u, times 1 over x dx.

But you just have to know at this point what the notation means or what it tells you to really do, which really is just the antiderivative or the indefinite integral.

So the general solution to this differential equation is y is equal to e to the lambda x well lambda is minus 2 minus 2x times c1 cosine of mu x but mu is just 1 so c1 cosine of x, plus c2 sine of mu x, when mu is 1, so sine of x.

Who.

Whowho.

Your Majesty. Who, who, who?

Rays consisting of electrons that are emitted from Atoms of radioactive elements.

Unknown.

Of who?

Who? Who?

Who else?

Anyway, who...?

Of whom?

Who?

We are like a leaf floating on the ocean. The waves push us.

Who will be my Hector?

Rays consisting of alpha particles, consisting of two protons and two neutrons that are emitted from the Atoms of certain radioactive elements.

Melting Point K

So you'd have many, many, many, many, many connections.