AKTU B.Tech Maths 2 | Unit 1 Lec 7 | PI Case 5 & 6 (xⁿ sinax/cosax & tanax) #aktumaths #math2 #aktu

AKTU B.Tech Maths 2 | Unit 1 Lec 7 | PI Case 5 & 6 (xⁿ sinax/cosax & tanax) #aktumaths #math2 #aktu #btech1styear #engineeringmaths #engineeringmathematics #importantquestions #aktuexam #engineeringstudents #engineeringmaths2 #engineeringmathematics2 #ordinarydifferentialequations #differentialequations #aktumath2unit1 #unit1maths #unit1 #particularintegral

Particular Integral Case 5 & 6 Trick | Polynomial × Sinax | Tanax Method

Engg Maths 2 AKTU | PI of xⁿ cosax & tanax | Unit 1 Lecture 7

Differential Equations | PI Case 5 & 6 Easy Shortcut | B.Tech 1st Year

AKTU Maths 2 | xⁿ Sinax Cosax & Tanax Particular Integral

How to Solve PI Case 5 (Polynomial × Trig) & Case 6 (tan, sec)

B.Tech Maths 2 | Important Exam Questions | PI Case 5 & 6

AKTU Engineering Mathematics 2 | Differential Equation Complete Method

In this lecture, we cover Engineering Mathematics 2 – Unit 1 Lecture 7 for B.Tech 1st Year (AKTU).

✅ Case 5: When RHS is Polynomial × Sin(ax) / Cos(ax)

For equations of type:

𝑓
(
𝐷
)
𝑦
=
𝑥
𝑛
𝑐
𝑜
𝑠
(
𝑎
𝑥
)
f(D)y=x
n
cos(ax)

or

𝑓
(
𝐷
)
𝑦
=
𝑥
𝑛
𝑠
𝑖
𝑛
(
𝑎
𝑥
)
f(D)y=x
n
sin(ax)

👉 Assume trial solution
👉 Use differentiation method
👉 Compare coefficients
👉 Shortcut exam method

This type is very important for AKTU semester exams.

✅ Case 6: When RHS is tan(ax), cot(ax), sec(ax), cosec(ax)

For equations like:

𝑓
(
𝐷
)
𝑦
=
𝑡
𝑎
𝑛
(
𝑎
𝑥
)
f(D)y=tan(ax)

👉 Convert into sin/cos form
👉 Use identity methods
👉 Apply operator carefully
👉 Important university problems covered

Covers:

tan(ax)

cot(ax)

sec(ax)

cosec(ax)

🎯 This video is helpful for:

AKTU Semester Exams

Sessionals

Back Paper Preparation

Previous Year Questions

📚 Subject: Engineering Mathematics 2
📖 Unit: 1 (Differential Equations)
📄 PDF Notes Included

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