How To Solve First Order Differential Equations Using Laplace Transform

The Laplace transform can be used in some cases to solve second order linear differential equations with given initial conditions.
Laplace transformation is a technique for solving differential equations. Here differential equation of time domain form is first transformed to algebraic equation of frequency domain form. After solving the algebraic equation in frequency domain, the result then is finally transformed to time domain form to achieve the ultimate solution of the differential equation. In other words it can be said that the Laplace transformation is nothing but a shortcut method of solving differential equation.
In this video you are going to learn;
1. How to prove the Laplace transform of the third derivative
2. How to transform derivatives
3. How to solve the Laplace transform
4. Step By Step technique of solving transform of derivatives
5. How to solve first order differential equations using Laplace transform
6. How to find the Laplace transform of the second derivative
7. How to find the Laplace transform of the first derivative
8. Introduction to transform of derivatives
9. How to prove Laplace transform of Derivatives
10. How to solve Laplace transform of derivatives proof
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#differentialequation
#electrical
#electricalengineering
#engineering
#engineeringmathematics
#differentialequations
#signals_and_systems
#signal
#signalsandsystems
#avitechmaths
#avitechnologies

[@Mobile_Hustle]

I have a question. I really wish I can type it here. KA Strod Eng. Maths. Further questions 2; Question 19 & 20 😟😟😟😟

[@Mobile_Hustle]

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[@Mobile_Hustle]

If x''+ 8x + 2y = 24 cos 4t and y" + 2x + 5y = 0 and at t = 0, x = y = 0, * = 1, y = 2 determine an expression for y in terms of t.

[@AVITECHNOLOGIES]

If I got your question correctly, They are Problems on Differential Simultaneous Equations. The questions are in Page 91 of the fifth edition of ADVANCED engineering mathematics and question 19 & 20 are the last ones for the Exercise. I'm I correct? Well, I am definitely going to get there, I'm just taking everything one step at a time. Remember, I've got you covered. For your sake, I'll make sure I solve those exact problems when choosing the few videos I'll make under that segment (Simultaneous Differential Equations).

[@AVITECHNOLOGIES]

Exactly, I have gotten the question, I'll make a video for it.