In Problem 21 a one-parameter family of solutions of the DE P' = P(1 P) is given. Does any solution curve pass through the point (0, 3)? Through the point (0, 1)?

Data from problem 21

Verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution

 

Transcribed Image Text:

dP dt = P(1 – P); P = Cie 1 + cze'