00:01
Hi, here for the given question, we are given that the value of dy by dx is equal to 0 .55 multiplied with y minus 4 multiplied with 2 plus y.
00:16
So here on further simplification, this can be written as 1 upon 0 .5 dy by dx is equal to y multiplied with y minus 4 multiplied with 2 plus y.
00:28
So here on simplifying further, we have y minus 4 equals to 0, y plus 2 equals to 0 and y equals to 0.
00:38
So here this gives us y equals to 2 minus and y equals to 4.
00:46
So here the three point of the y can be written as y equals to 0, y equals to minus 2 and y equals to 4.
00:55
These are the required critical point.
00:57
Now here for the given point, we need to check whether the value will be stable or unstable.
01:04
So here in order to check that, first of all we will plot the graph.
01:08
So the graph looks like, now here this is our required graph.
01:22
Now from the graph, we can observe that here at y equals to 4, the graph moves away from the point t...