Usage 1: Differential Equations Ex 3 Separable Equations

DifferentialEquationsSeparable_Equations.html

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Separable Equations .... (by Separation of Variables)

Properties:

  • * .... know what they are right off hand.
  • * .... have method that we know to solve these equations directly.
  • We say that "an ordinary differential equation is separable if it is possible, by elementary algebraic manipulation, to arrange the equation so that all the dependent variables (usually the y variable) are on one side and all the independent variables (usually the x variable) are on the other side. The corresponding solution technique is called separation of variables."(S.G. Krantz, 2005)

    Notice that integration is being done on each side of the equation.

    Notice, also, that since our equation was of the first order that we have one constant.

    You can go to DE Ex2 here...D.E. Ex2.

    You can go to DE Ex1 here ...D.E. Ex1.

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