The document discusses how the Laplace transform can be used to solve ordinary differential equations. It introduces the Laplace transform as a mathematical operation that converts a time-based function into a function of a complex variable s. It then explains that the Laplace transform reduces differential equations to algebraic equations, allowing ordinary differential equations to be solved without finding the general solution or arbitrary constants. In conclusion, it states that the Laplace transform makes solving differential equations easier and is widely applicable in science, engineering, and technology fields.

1. Applications of Laplace Transform to
Ordinary Differential Equations
Name: J.Meghana
227R1A66F8
CSM-C
CMR TECHNICAL CAMPUS

2. What is Laplace Transform ?
Laplace Transform is a mathematical operations that
transforms a function of time into a function of complex
variable s. It is commonly used in engineering and physics to
solve differential equations and analyse the behaviour of
linear systems.

3. INTRODUCTION
• Laplace transform is a mathematical tool which is used in
solving the differential equations by converting it from one form
to another form.
• It reduces an ordinary differential equation into algebraic
equation.
• Ordinary differential equations can be easily solved by Laplace
Transformation method without finding the general solution
and arbitrary constant.

4. General representation

12. CONCLUSION
Generally it has been noticed that differential equations can be
easily solved typically. The Laplace transformation makes it easy to
solve. The Laplace transformation is applied in different areas of
science, engineering and technology. The laplace transformation is
applicable in so many fields.