This course provides a detailed and structured understanding of Laplace Transformations as prescribed in the Ordinary Differential Equations (Paper 1) syllabus for UPSC Civil Services (Mains) and Indian Forest Service (Mains) Mathematics Optional.

The program is designed to develop conceptual clarity from fundamentals to applications, enabling aspirants to confidently solve both theoretical and problem-based questions in examinations. Through systematic lectures and exam-oriented explanations, the course simplifies complex ideas and strengthens problem-solving skills in differential equations using Laplace techniques.

What This Course Covers
The sessions include in-depth discussion and practice on the following core topics:

Laplace Transformation – Basics
Concept, definition, existence conditions, and fundamental examples

Properties of Laplace Transformation
Linearity, shifting theorems, scaling, differentiation and integration properties

Inverse Laplace Transformation
Standard results, partial fractions, and application-based problems

Solution of Linear Differential Equations using Laplace Transformation
Solving initial value problems and real-world application-based equations

Who Should Enroll

* UPSC CSE Mathematics Optional aspirants
* IFoS (Mains) Mathematics Optional candidates
* Students preparing for advanced differential equations
* Aspirants seeking better accuracy in computation-based questions

Why This Course

* Fully aligned with UPSC & IFoS Mains syllabus
* Step-by-step concept building approach
* Simple explanations suitable for non-technical backgrounds
* Focus on clarity, structure, and answer-writing technique