Linear Differential Equation Formula





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}

 



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