Laplace Transform | First Shifting Theorem | Unit 4 Lecture -2 | Engg. Mathematics-3 | RGPV & Others

📘 Welcome to Lecture 2 of Unit 4 – Laplace Transform | Engineering Mathematics-3 (M-3)

In this video, we go beyond the 7 essential Laplace Transform formulas and dive deep into the First Shifting Theorem, also known as the Exponential Shifting Property.

📌 What You'll Learn:
✅ Quick revision of 7 Important Laplace Formulas
✅ First Shifting Theorem Statement:
 If
𝐿
{
𝑓
(
𝑡
)
}
=
𝐹
(
𝑠
)
L{f(t)}=F(s), then
 
𝐿
{
𝑒
𝑎
𝑡
𝑓
(
𝑡
)
}
=
𝐹
(
𝑠
−
𝑎
)
L{e
at
f(t)}=F(s−a)

✅ Step-by-step proof & derivation
✅ Real-world examples using shifting
✅ Application in solving engineering differential equations
✅ Aligned with RGPV, AKTU, GTU & most Indian university syllabi

🎓 Best For:

B.Tech / BE Students (3rd Sem or 2nd Year)

Diploma & Polytechnic Students

GATE, ESE, and university exam prep

Anyone looking to strengthen Laplace concepts

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Видео Laplace Transform | First Shifting Theorem | Unit 4 Lecture -2 | Engg. Mathematics-3 | RGPV & Others канала Rid Bharat