Consider the differntial equation $$\displaystyle \frac{dy}{dt}=(1+y)^2.$$

Part A). Sketch the phase portrait in the space below.

To place a symbol on the line click a symbol button then click a point on the line.
To remove a symbol from the line click the "delete" button then click the symbol on the line.

Part B). What happens to solutions with initial conditions $y(0)>-1$ as $t$ increases? ? They tend to zero. They tend to equilibrium. They grow without bound. They decrease without bound.
If you entered 'they tend to equilibrium', what is the value of the equilibrium? Enter 'NA' if you chose another answer. The equilibrium point is .

Part C). Describe the behavior of solutions with initial conditions $y(0)<-1$ as $t$ increases. ? They tend to zero. They tend to equilibrium. They grow without bound. They decrease without bound.
If you entered 'they tend to equilibrium', what is the value of the equilibrium? Enter 'NA' if you chose another answer. The equilibrium point is .