anonymous
  • anonymous
Whats the difference between a general solution and an implicit solution of a differential equation.
Mathematics
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anonymous
  • anonymous
Whats the difference between a general solution and an implicit solution of a differential equation.
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
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
amistre64
  • amistre64
y^2 - y = sin(x) solve for y is difficult so we say its implicit; or implied that y is a function of x
amistre64
  • amistre64
y = tan(x)-3x is explicitly stating y as a function of x

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amistre64
  • amistre64
.... of course it helps of i can read ...
anonymous
  • anonymous
so after you have simplified as much as you can and cant go any further leave the equation as an implicit answer
amistre64
  • amistre64
ok, a general solution is one of a family; involves arbitrary constants
amistre64
  • amistre64
correct

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