Verify that p = ce^t /1 + ce^t is a one-parameter family of solutions to the differential equation dp dt = p(1 − p).

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

Now, differentiate to obtain

To obtain the required form, extract a factor in both the numerator and denominator:

10% of increase is the final answer! : )

2

step-by-step explanation:

1+1=2