# Linear Differential Equations of Higher Order

##### Video Lessons & Revision Notes

Solving a Homogeneous Linear DE
1. Solving a Homogeneous Linear DE
In this 80 mins Video Lesson
Linear Differential Equation, Homogeneous Linear Differential Equation, LDE with constant coefficients, Homogeneous LDE with constant coefficients, Solving a Homogeneous LDE with constant coefficients, Concept of Auxillary Equation, Repeated Roots, Imaginary Roots, Repeated Imaginary Roots, and other topics.
Solving a Linear DE with constant coefficients - Part 1
2. Solving a Linear DE with constant coefficients - Part 1
In this 60 mins Video Lesson
Solving a LDE with constant coefficients, Complimentary Function and Particular Integral, Concept of Inverse Operator, Calculating PI when f(D) = D-a, Calculating PI when f(D) = (D-m1)(D-m2)...(D-mn) , Calculating PI when X = e^(ax), and other topics.
Solving a Linear DE with constant coefficients - Part 2
3. Solving a Linear DE with constant coefficients - Part 2
In this 41 mins Video Lesson
Calculating PI when X = Sin(ax+b) or Cos(ax+b), Calculating PI when X = x^k, Calculating PI when X = e^(ax).V(x), and other topics.
Linear DE - Typical Problems
4. Linear DE - Typical Problems
In this 30 mins Video Lesson
Review of Inverse Operator Formulae, Typical Problems on Solution of LDE, and other topics.
Cauchy’s, Legendre’s DE & Method of variation of parameters
5. Cauchy’s, Legendre’s DE & Method of variation of parameters
In this 53 mins Video Lesson
Cauchy's Linear Equation, Legendre's Linear Equation, Solving using Method of Variation of Parameters, and other topics.

### Revision Notes

Linear Differential Eqaution with constant coeffiecient‐ Complimentary function, particular integrals of differential equation of the type f(D)y = X where X is eax, sin (ax+b), cos (ax+b), xn, eaxV, xV

Cauchy’s homogeneous linear differential equation and Legendre’s differential equation, Method of variation of parameters.