00:01
I here in this question we have given that the value of d upon vt is e to 0 .2 times 2 minus 0 .001 times 3 squared and p of 0 increased to 5.
00:17
Now here we know that using the logistic function the value of 3 dash of 2 is to r multiplied 2 of 2 again multiplied 1 minus 3 of 2 divided by 2.
00:31
So, substituting the value, here in our equation, we have dp upon d2 equals to 0 .2 times 2.
00:41
Contemplate with 1 minus 0 .01 divided by 0 .2 times p.
00:49
Now, on comparing this two equation, we have r equals to 0 .2 and k equals to 0 .2 divided by 0 .01.
00:59
So here, this is again equal to 2.
01:02
Now further we got these values we need to find what is the value of t dash of zero so here we will substitute t with zero so here we have p dash of 0 equals to 0 .2m of 2m compared with p 0 multiplied with 0 .001 p square of 0 so here in our case substituting the value of p of 0 we have p dash of 0 equals to 0 .2 nuketal with 40 minus 0 .001.
01:41
20 square.
01:43
So here i'm calculating this we have 8 minus 1 .6 as p -0.
01:49
So here we can say that we got our first solution as the value of p -0 equals to 6 .4...