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Applications of Laplace Transform to
Ordinary Differential Equations
Name: J.Meghana
227R1A66F8
CSM-C
CMR TECHNICAL CAMPUS
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.
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.
General representation
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.
maths ppt_66f8.pptx

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maths ppt_66f8.pptx

  • 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.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 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.