JUNE 2025,DEC 2024,JUNE 2024, NOV 2023

1. Laplace Transform Basics

• Definition of Laplace Transform

• Standard Laplace transforms (e.g., eat,sinat,cosat)

  eat,sin⁡at,cos⁡ate^{at}, \sin at, \cos at

• Linearity property

JUNE 2025-FIND Laplace Transform ⭐

JUNE 2023-FIND Laplace Transform ⭐

JUNE 2023-FIND Laplace Transform ⭐

2. Properties of Laplace Transform

• Linearity
• First shifting property (s-shift)
• Second shifting property (t-shift)
• Scaling property
• Differentiation in time domain
• Integration in time domain

NOV 2023-Integration in time domain ⭐⭐

3. Laplace Transform of Special Functions

• Periodic functions