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## Homework Statement

A function y(t) satisfies the differential equation dy/dt = y^4 - 6y^3 +5y^2

## Homework Equations

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