Math, differential equations.

So the differential equations.

That's true with regular equations or differential equations.

least the solvable differential equations.

Partial Differential Equations in Cleve Moler Numerical Computing with MATLAB Example problems with solutions at exampleproblems.com Partial Differential Equations at mathworld.wolfram.com Partial Differential Equations at nag.com Dispersive PDE Wiki NEQwiki, the nonlinear equations encyclopedia

linear differential equations with constant coefficients.

Partial Differential Equations Index at EqWorld The World of Mathematical Equations.

Partial Differential Equations Methods at EqWorld The World of Mathematical Equations.

We'll now move from the world of first order differential equations to the world of second order differential equations.

Partial differential equations we'll get into later.

Let's say we have the differential equations and

External links Partial Differential Equations Exact Solutions at EqWorld The World of Mathematical Equations.

And this first class of differential equations I'll introduce you to, they're called separable equations.

And when you study exact equations in differential equations, you'll see this a lot more.

Let's do some more examples with exact differential equations.

Laplace transforms are extremely useful for solving differential equations.

We're talking about books on hypergeometric partial differential equations.

And even within differential equations, we'll learn later there's a different type of homogeneous differential equation.

Now, we can use this knowledge, which is the chain rule using partial derivatives, and this knowledge to now solve a certain class of differential equations, first order differential equations, called exact equations.

We're talking about books on hyper geometric partial differential equations.

We're going to start embarking on higher order differential equations.

That's what this playlist will deal with, ordinary differential equations.

But hopefully you might see the parallels if you've already run into exact equations in differential equations.

We first captured the dynamics with a set of differential equations.

So second order linear homogeneous because they equal 0 differential equations.

Notice in all differential equations, the hairiest part's always the algebra.

And actually, we're going to start solving non homogeneous differential equations.

We know the three particular solutions to the following differential equations.

And in general, one thing that's kind of fun about differential equations, but kind of not as satisfying about differential equations, is it really is just a whole hodgepodge of tools to solve different types of equations.

Well actually, there's a first big one, ordinary and partial differential equations.

And if you're taking differential equations, it might be on an exam.

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.

During this time, he encountered differential equations that he could only solve numerically.

But anyway, for this purpose, I'm going to show you homogeneous differential equations.

This is a good warm up after a year of no differential equations.

And it's just another method for solving a certain type of differential equations.

And now I'll show you, at least in the context of differential equations.

As you can tell, these differential equations problems, they require a lot of stamina.

Those are called homogeneous linear differential equations, but they mean something actually quite different.

That makes sense, because the separable differential equations are really just implicit derivatives backwards.

There isn't just one tool or one theory that will solve all differential equations.

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

And I haven't made the connection yet on how these second order differential equations are related to the first order ones that I just introduced to these other homogeneous differential equations I introduced you to.

Transform in the differential equations context, other than it being a very useful tool that converts differential or integral problems into algebra problems.

We have the only cookbook in the world that has partial differential equations in it.