00:01
What we want to do is, one, we are given a differential equation of y prime is equal to y.
00:17
And we want to get a slope -filled graph of y -prime equal to y.
00:28
And so what i did was in order to create this slope field graph or the solution curves, i actually went into what is called desmos, and there is, if you google slope field generator from desmo, it gives you actually this generator.
00:52
And so i typed in, g of x is equal to y, where you.
00:58
G of x, y is equal to the derivative, so y prime is equal to y.
01:04
And it generated the solution curves or the slope -filled graph for y -prime equal to y.
01:11
And then i just snapshot it, and you probably could print it out.
01:18
I actually incorporated into the whiteboard.
01:22
And so now what we want to do is we want the specific solution curves drawn for a that goes to the point 01.
01:36
So what i'm going to do here is go to 01 and mark my point.
01:43
And then i'm going to draw in the solution curve that goes through that point 01.
01:49
And so if you notice that down here at y equal to 0, which is the x -axis, they're all horizontal lines.
02:01
And so that means that the slope field or the solution curve will be zero...