🔵24 - D Operator Method for Solving First Order Linear Differential Equations

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In this lesson we shall learn how to solve the general solution of a linear differential equation using the d operator method. The d operator is an effective way of solving d.e's where the coefficients need to be constants.
For each form of G(x), the solution process is quite different.

In this lesson we shall consider variety of cases and examples i.e
for g(x) to be a:
1. Exponential Function
2. Sine or cosine function
3. Polynomial function
4. sum of functions
5. product of functions

00:00 - Introduction
04:46 - First Order Linear D.E
06:10 - Ex 1: Exponential Function
10:14 - Ex 1: (Alternative Approach)
15:57 - Ex 2: sine or cosine function
22:18 - Ex 3: sine or cosine function
29:53 - Ex 4: sine or cosine function

Playlists on various Course
1. Applied Electricity

2. Linear Algebra / Math 151

3. Basic Mechanics

4. Calculus with Analysis / Calculus 1 / Math 152

5. Differential Equations / Math 251

6. Electric Circuit Theory / Circuit Design

Make sure to watch till the end.
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Thank you.
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can you please explain why you multiply the top by x every time

you differentiate f(D) and also why D^2 =-a^2 for sin and cos functions

AbideChauke
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Great job. Please which apps do you use for your video?. Thank you

Excellingdaily
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is it applicable when the G(x) is a polynomial, say 10-0.05x

greepykhan
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Sir 😢, can you teach us the rule for finding that particular solution with D-OPERATOR, like more example ❤️❤️

engsmyle
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Please try to step up a bit so that we can catch up before the exams on Tuesday

michaelnyarko
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i had \left(x\right) for the second one

delivernsowah
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1
D−a
(X)= e

ax e

−axXdx

saumyadipdas
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you have d^2 = -1^2 = -1? how is -1^2 = -1, its supposed to be 1

QaisDib