And I'm getting these problems from page 80 of my old college differential equations books.

Homogeneous differential equation.

So the differential equations.

Math, differential equations.

What is a differential equation?

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

linear differential equations with constant coefficients.

What does a homogeneous differential equation mean?

And we got the solution to the differential equation.

See, they have this as a differential equation.

Here's differential productivity rates.

Let's say this is my differential equation.

Multiply it times our original differential equation.

This was the original differential equation.

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.

The results of the review shall be included in the reports of the Council's deliberations.

This is the fifth edition of Elementary Differential

We have solved this differential equation.

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

So this is also a solution to the differential equation.

Let's solve this differential equation, an interpretation of it.

I will now introduce you to the idea of a homogeneous differential equation.

least the solvable differential equations.

Laplace transforms are extremely useful for solving differential equations.

So the first question is what is a differential equation?

Partial differential equations we'll get into later.

So, a solution to the differential equation is psi is equal to c.

That's true with regular equations or differential equations.

So by definition, if g is a solution of the original differential equation, and this was the left hand side of that differential equation, this is going to be equal to 0, and so is this going to be equal to 0.

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

And what's an exact equation?

But this is the implicit form of the solution to this differential equation.

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

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

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

So we could rewrite our differential equation like this.

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

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

So what is a linear second order differential equation?

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.

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

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

I'll actually show you how it is useful to use it to solve differential equations.

So this was also a solution to this differential equation.