A function y(t) satisfies the differential equation dy/dt = y^4 - 6y^3 +5y^2
Part a. What are the constant solutions of the equation5?
I just set it equal to 0 and solved. I got y = 0, y = 5, y = 1
The Attempt at a Solution
b. For what values of y is y increasing?
c. For what values of y is y decreasing?
So for this one I was thinking Since I know where the eq is not changing. I could make up intervals and just do the first derivative test?
So I did. I had 0, 5,1 and I tested -1 (1/2), 2, and 6 for the intervals.
I just plugged in my test values into my equation the very first one I wrote on here.
So am I doing this right? I'm confused on how to report my answer.
It is greater than 0 from up until my test number of 2. But I don't know..ah
It is negative before that also I just checked. It is negative at 1.5