Question

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

Answer 1

Are you solving for the differential equation?

Answer 2

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

Answer 3

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

Answer 4

Integrate and solve for y(x).

Answer 5

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

Answer 6

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?