Linear Differential Equations of Higher Order

Video Lessons & Revision Notes

Solving a Homogeneous Linear DE
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
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
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
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
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.

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