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Solving Second Order Differential Equations Using Laplace Transform

In mathematics, the Laplace transform is a powerful integral transform used to switch a function from the time domain to the s-domain. The Laplace transform can be used in some cases to solve 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 second 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 second 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 second derivative 8. Introduction to transform of derivatives 9. How to prove Laplace transform of Derivatives 10. How to solve Laplace transform of derivatives proof #differential #laplacetransform #laplace #differentialequation #electrical #electricalengineering #engineering #engineeringmathematics #differentialequations