Laplace transformations are linear operators that convert functions of a real variable into functions of a complex variable, providing modern techniques for solving higher-order differential equations. They offer significant advantages over classical methods, capable of addressing equations beyond the second degree. This document discusses the application and benefits of Laplace transformations in differential equations.

1. Pradipta sarker
Laplace Transformations

2. Laplace Transforms
 it is a linear operator of a function f(t) with a real
argument t (t ≥ 0) that transforms it to a
function F(s) with a complex argument s.

3. Laplace transformation of some
elementary functions

5. Inversre Laplace

12. Advantages of Laplace
transformation
 Laplace Transformation is modern technique to
solve higher order differential equations.
It has several great advantages over old classical
method.
 We can solve higher order differential equations
also of more than second degree equations
because using classical method we can only
solve first or second degree differential equations.

13. Thank You 