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.

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.

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 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.

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.

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.

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.

Review of Inverse Operator Formulae, Typical Problems on Solution of LDE, and other topics.

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.

Cauchy's Linear Equation, Legendre's Linear Equation, Solving using Method of Variation of Parameters, and other topics.

Linear Differential Equations
(3.85 Mb)

Linear Differential Eqaution with constant coeffiecient‐ Complimentary function, particular integrals of differential equation of the type f(D)y = X where X is e^{ax}, sin (ax+b), cos (ax+b), x^{n}, e^{ax}V, xV

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