Chapter 2 - Second Order Differential Equation -

Second Order Differential Equation Click here

A.Second Order Homogeneous Equation Click here

B.Second Order Non-homogeneous Equation

    1.Solving second order Non-Homogeneous Equation by undetermined coefficient method.

    2.Solving second order Non-Homogeneous Equation by using    Variation of Parameters method.
       Application. Table of particular integral

       

    3.Laplace Transformation Click here, Table of Laplace Transform.

       Characteristics of Laplace Transform:

        -Theorem 1:Linearity
        -Theorem 2:First shift
        -Theorem 3:Multiply with t^n
       Exercise
       Inverse Laplace Transformation , Partial Fraction.

       Application of Laplace Transform.

        -Solving First Order Linear Differential Equation.
        -Solving Second Order Differential Equation.
       Exercise