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

Question

abb0t · Answer

Are you solving for the differential equation?

abb0t · Answer

You can use separation of variables, factor out a y^2 and integrate dy using partial fraction decomposition

anonymous · Answer

Okay after I integrate what do I do? Or is that integration just the answer?...

abb0t · Answer

Integrate and solve for y(x).

abb0t · Answer

If you're not given any initial conditions, then just find the implicit solution.

anonymous · Answer

Okay yeah it doesn't give me any initial conditions...Can you give me a example what a implicit solution might look like? It also asks me what are the constant solutions of this equation...How do I find those?