Linear Differential Equation Formula


Posted in Math Formulas




Linear Differential Equation Formula

 

Some of the important formulas for linear differential equation are listed below:-

 

  1. Integrating factor (I. F.) = e^{\int pdx}
  2. To obtain solution of linear equation, we multiply both sides of given equation by I. F.
  3. \left( e^{\int pdx} \dfrac{dy}{dx} + py \, e^{\int pdx} \right) = \dfrac{d}{dx} \left(y.e^{\int pdx} \right)
  4. If linear differential equation is of the form \dfrac{dx}{dy} + Px = Q, where P  and Q are function of y alone or constant, then I. F. = e^{\int pdy}

 



Related posts:

  1. Exact differential equation Exact differential equation A differential equation is a equation used...
  2. Application of Differential Equation Application of Differential Equation   Differential equation can be defined...
  3. Derivative Formula Derivative Formulas Derivative is a rate of change of function...
  4. Constant acceleration & Constant acceleration equations Constant acceleration. And Constant Constant acceleration equation. Derivation of constant...
  5. Triangle Formula Triangle Formula A triangle is a basic geometrical shape, with...