- #1

w3390

- 346

- 0

## Homework Statement

A function y(t) satisfies the differential equation: dy/dt= y^4-7y^3+6y^2. What are the constant solutions to the equation?

## Homework Equations

dy/dx= g(x)*f(y) --> INT([1/f(y)]dx/dy)=INT(g(x))

## The Attempt at a Solution

My first attempt was to factor out a y^2 term and divide it to the other side and take the integral. After a couple more steps, I realized this was not correct. My second attempt was to factor the differential equation into two factors and divide one of the factors to the other side, but this always leaves me integrating a factor with y's with respect to t. I cannot figure out how to attack this problem.