The function y(t) satisfies the differential equation dt
dy

=y 4
−6y 3
−27y 2
List the (distinct) constant solutions (y=c) to the differential equation in ascending order. (If there are fewer than four solutions, leave the latter blanks empty) For what values of y (in interval notation) is y increasing? Use the strings "plus_infinity" or "minus_infinity" if appropriate, and if there is only one interval, leave the second one blank. Finally, list your intervals so that the first interval is to the left of the second (on the real Interval 1: ( ) Interval 2:(