Aone-parameter family of solutions of the de p' = p(1 − p) is given below.

p =
c1et
1 + c1et
does any solution curve pass through the point (0, 4)? through the point (0, 1)? (if yes, give the corresponding value of

c1.
if not, enter dne.)

(0, 4)
(0, 1)

A solution curve pass through the point (0,4) when .

There is not a solution curve passing through the point(0,1).

Step-by-step explanation:

We have the following solution:

Does any solution curve pass through the point (0, 4)?

We have to see if P = 4 when t = 0.

A solution curve pass through the point (0,4) when .

Through the point (0, 1)?

Same thing as above

No solution.

So there is not a solution curve passing through the point(0,1).

correct answer:

b.(19,-2)

nswer: a   y-axis

step-by-step explanation: