# What is the logistic equation that satisfies the initial condition of (0,4) where the logistic differential equation is #dy/dt=y(1-y/36)#?

##### 1 Answer

Jan 21, 2018

#### Explanation:

The general form of the differential equation is:

in that form the solution is of the form:

(Arrived at through partial fraction decomposition and separation of variables. See this video for the solution. )

For this problem

Calculating

Substituting everything: