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anonymous

  • 4 years ago

Whats the difference between a general solution and an implicit solution of a differential equation.

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  1. amistre64
    • 4 years ago
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    general solutions are vague and imprecise; works for a family of stuff expplicit means that we can define one variable in terms of the others implicit means the equation cant really be broken down into something useable

  2. amistre64
    • 4 years ago
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    y^2 - y = sin(x) solve for y is difficult so we say its implicit; or implied that y is a function of x

  3. amistre64
    • 4 years ago
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    y = tan(x)-3x is explicitly stating y as a function of x

  4. amistre64
    • 4 years ago
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    .... of course it helps of i can read ...

  5. anonymous
    • 4 years ago
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    so after you have simplified as much as you can and cant go any further leave the equation as an implicit answer

  6. amistre64
    • 4 years ago
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    ok, a general solution is one of a family; involves arbitrary constants

  7. amistre64
    • 4 years ago
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    correct

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