Let's solve the problem.

Let's try to figure this one out.

So let's solve for psi.

Well, let's just finish up this problem.

So let's verify that this is a solution.

Let's keep doing some examples.

So let's first of all verify that this is a solution.

Let's say j is a particular solution to this differential equation.

Let's see if we can do another one.

It'll only have one solution to this quadratic in terms of x. But let's simplify it first before we worry about that.

let's activate deep critical thinking and problem solving.

But anyway, let's get back to solving this.

And it really just says, well let's just guess a second solution.

Now let's verify that this is the solution to our original equation.

But we have to pay attention and be convinced that there must be a solution.

Let's see if this particular solution satisfies the second initial condition.

So let's say that h is a solution of the homogeneous equation.

Let's see if we could do a couple more of these conic section identification problems.

I think it's reasonable to do one more separable differential equations problem, so let's do it.

Let's solve it kind of in a tangible way, then we'll solve it using operations that hopefully will make sense after that.

So let's do a bunch of problems now, and hopefully it'll hit the point home, and you also could try to do along the practice problems and also give the hints and give you what rules to you so that should help you as well

Let's see, let's evaluate this.

Let us through. Let us through!

Let's vote. Let's vote.

let's push the effort into that aspect of the control, so that we can actually solve the problem, even though, if you just look at the frequency of infection, you would suggest that you can't solve the problem well enough just by cleaning up water supply.

So, let's factor, let's factor that out.

I figure it never hurts getting as much practice as possible solving systems of linear equations, so let's solve this one.

And let's say for use in the later part of this, let's say

Let's journey together. Let's journey together.

Let us not haggle. Let us be fair.

So let's take the situation, let's do all the scenarios.

Let's multiply it times let's do a general matrix.

So, so let's plot these. Let's plot these.

So let's start again.

Let's count it, let's verify it.

Let's figure out its slope first.

But let's account for everything that we have.

Let's show that live. Let's go to the device.

Let's see, let's move this line up.

Let's ta...

Syria s No Solution Solution

You know, any of the unique combinations will each have the same probability.

So let's try, let's see what I'm talking about.

So let's focus on let me focus on this triangle right over here

Let's do some multiplication.