* A function y(t) satisfies the differential equation $\displaystyle \frac{dy}{dt}=y^{4}-6y^{3}+5y^{2}$

a. What are the constant solutions of the equation ?

My answer : Solution :$\displaystyle y=\frac{y^{5}}{5}-\frac{6y^{4}}{4}+\frac{5y^{3}}{3}$, is not depend t , therefore y are the constant solutions of the equation.

Right or wrong ?

b. For what values of y is y increasing ? --> Should be "For what values of t is y increasing " Right or worng ?