B.TechSemester 62022-23Computer Based Numerical TechniquesKOE-065

Computer Based Numerical Techniques (KOE-065) - AKTU Question Paper 2022-23

B.Tech · Semester 6 · Free PDF Download

This is the official AKTU Computer Based Numerical Techniques Previous Year Question Paper for B.Tech Semester 6, academic session 2022-23. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech

Semester:Semester 6

Session:2022-23

University:AKTU / UPTU

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Questions Asked in 2022-23

Computer Based Numerical Techniques (KOE-065) — complete question paper

Section AAttempt all questions in brief. 2 x 10 = 20

a
Find the order and degree of
b
Find complementary function of +1 =
c
Define singular point about a point = for the equation ++
d
Prove that 1 = 1
e
Define Gamma function
f
Write down Bessel’s equation
g
Differentiate a matrix and a determinant
h
Define orthogonal matrix with an example. i. How does the choice of boundary conditions influen ce the solution of unsteady state heat transfer problems? j. What do you understand by steady state and transie nt state approaches

Section BAttempt any three of the following: 10x3=30

a
Solve:
```
 +2 = cos 2";
 +2 = sin 2"
```
c
Show that = −sin − Find the eigen values and eigen vectors of the matrix 1
e
Discuss counter current Liquid-Liquid extraction with an example

Section CAttempt any one part of the following: 10x1=10

a
Find the complete solution of +2 = 4 +sin 2
b
Solve: 3−2 +4−3
a
Solve in series: −1 +3−1+ = 0
b
Express 6 = 4 +6 +7+2 in terms of Legendre polynomials
b
Evaluate ; <.=log @A
a
Prove that a square matrix is invertible if and only if its determinant is non -zero
b
Solve the following equations by matrix method
a
In a refinery of gas stream it is desire to remove 95% of component A from streams containing 10% A. The feed enters in the bottam of a column at a flow rate of 5000kg/hr. The pure solvent is fed at the top of th e column at a rate of 5000 kg/hr. Determine the number of trays required by algebraic method, given the equation relation = 1.5
b
Solve the difference equation G

Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.

Repeated Questions — KOE-065

Questions that appeared in more than one session, found by comparing 3 years of Computer Based Numerical Techniques papers (2021-22, 2022-23, 2023-24)

Show that = −sin − Find the eigen values and eigen vectors of the matrix 1

Appeared in: 2022-23 · 2023-24

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