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zerosniper123

  • 3 years ago

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

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  1. abb0t
    • 3 years ago
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    Are you solving for the differential equation?

  2. abb0t
    • 3 years ago
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    You can use separation of variables, factor out a y^2 and integrate dy using partial fraction decomposition

  3. zerosniper123
    • 3 years ago
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    Okay after I integrate what do I do? Or is that integration just the answer?...

  4. abb0t
    • 3 years ago
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    Integrate and solve for y(x).

  5. abb0t
    • 3 years ago
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    If you're not given any initial conditions, then just find the implicit solution.

  6. zerosniper123
    • 3 years ago
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    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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