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

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Are you solving for the differential equation?
You can use separation of variables, factor out a y^2 and integrate dy using partial fraction decomposition
Okay after I integrate what do I do? Or is that integration just the answer?...

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Integrate and solve for y(x).
If you're not given any initial conditions, then just find the implicit solution.
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?

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