Higher Order Linear Differential
Equations, Homogeneous Linear Equations with Constant Coefficients, Method of
Undetermined Coefficients ( Superposition Approach), Method of Undetermined
Coefficients (Annihilator Operator Approach), Variation of Parameters for
Higher-Order Equations, Applications of Second Order Differential Equations,
Differential Equations with Variable Coefficients, Cauchy-Euler Equation:
Alternative Method of Solution, Power Series, Solution about Ordinary points,
Solution about Singular Points, Bessel's Differential Equation, Legendre's
Differential Equation, Systems of Linear Differential Equations, System of
Linear First Order Equation, Eigen value Problem, Matrices and Systems of
Linear First-Order Equations, Homogeneous Linear Systems, Linear and Repeated
Eigen values, Non-Homogeneous System, Partial Differential Equations, Order,The
Adomian decomposition method and convergence analysis, Adomian method for higher-order
ordinary differential equations, Bratu type problems, Emden-Fowler equations and applications.