So it's a system of two linear equations.

When we say system of equations, we just mean many equations that have many unknowns.

So we were able to solve this system of equations.

You have a system of linear equations which is Algebra I.

Which of the following best describes the graph of this system of equations?

You are solving a system of two linear equations in two variables.

So here, we have a system of two equations and two unknowns.

Red is what represents the solutions to this non linear system of equations.

So what we just did, in a graphical way, is solve a system of equations.

So whatever x and y that is would be the solution to this system of equations.

That's one of our equations.

Exact equations.

Separable equations.

That's true with regular equations or differential equations.

It satisfies both of these equations.

Two linear equations of to unknowns.

solve the systems of linear equations by graphing. and they give us two equations here.

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

Math, differential equations.

No? Nonlinear equations?

Let's do some examples of solving equations.

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

Determine the number of solutions for each of these equations, and they give us three equations right over here.

An Assistant dialog to simplify solving of equations

And I just used both of these equations.

We could go to either of these equations.

Now, let's just solve each of these equations.

Solve Chemical Equations Viewer

Add the two equations.

linear equations right here.

Equations. The universal language.

So the differential equations.

05 is very tempting, but regular expressions are string equations, not mathematical equations.

So this is the whole point of exact equations.

And then we just solve both of these equations.

Welcome to the presentation on systems of linear 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.

Generate images from LaTeX equations

Two equations and two unknowns.

Differential equations are something different.

Here are our equations again.

least the solvable differential equations.

Two equations with two unknowns.

That's why they're called 'equations.'

You encode it into equations.