Engineering Mathematics Ii (BAS203) - AKTU Question Paper 2023-24
B.Tech · Semester 2 · Free PDF Download
This is the official AKTU Engineering Mathematics Ii Previous Year Question Paper for B.Tech Semester 2, academic session 2023-24. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.
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Questions Asked in 2023-24
Engineering Mathematics Ii (BAS203) — complete question paper · 70 marks · 3 Hours
- aFind Particular integral of 𝑑𝑥2 + 4y = sin 2𝑥. 2 1
- bFind the complementary function of (D2+a2)y = 0 2 1
- cFind the Laplace transform of f(t) = t4 e2t. 2 2
- dFind the constant term if the function f(x) = x+x 2 is expanded in Fourier series defined in (-1, 1)
- f∫ (𝑧+1)5𝑐 dz where c is the circle |𝑧| = 2 2 5
- gDefine Laurent’s series. 2 5
- aUsing variation of parameter method, solve x2
- bUse convolution theorem to find the inverse Laplace transform of
- cTest the convergence of the series 1+
- dShow that the function u = ½ log (x 2 + y 2) is harmonic .Find its harmonic conjugate
- eEvaluate the following integral using Cauchy Integral formula 𝑧(𝑧−1)(𝑧−2)𝑐 dz, where C is circle |𝑧| =
- aSolve the following differential equation ( D2 -4D +4)y = 8x2 e2x sin 2𝑥
- bSolve simultaneous differential equation : D2x-4Dx+4x = y, D2y+4Dy +4y= 25x+16et, where D =
- aFind the Laplace transform of f(t) =
- bUsing Laplace transformation solve the following differential equation
- aFind the half range Fourier sine series f(x) defined over the range 0<x<4
- bTest for the convergence of the series
- aShow that ex (x cosy – y siny) is a harmonic function. Find the analytic function for which ex (x cosy – y siny) is imaginary part
- bDefine analytic function and show that f(z) = z |𝒛| is not analytic anywhere
- aExpand f(z) = (𝑧−1)(2−𝑧) is Laurent series valid for 𝑎)|𝑧 − 1| > 1 and b) 0 < |𝑧 − 2| < 1
- bEvaluate ∫ (𝒛−𝟏)(𝒛−𝟒) dz where C is the circle |z| = 2 by using Cauchy’s integral formula
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 — BAS203
Questions that appeared in more than one session, found by comparing 3 years of Engineering Mathematics Ii papers (2022-23, 2023-24, 2024-25)
Find the Laplace transform of f(t) = t4 e2t. 2 2
Appeared in: 2022-23 · 2023-24 · 2024-25
Find the Laplace transform of f(t) =
Appeared in: 2022-23 · 2023-24 · 2024-25
Using Laplace transformation solve the following differential equation
Appeared in: 2022-23 · 2023-24 · 2024-25
Use convolution theorem to find the inverse Laplace transform of
Appeared in: 2022-23 · 2023-24
Test the convergence of the series 1+
Appeared in: 2023-24 · 2024-25
Evaluate the following integral using Cauchy Integral formula 𝑧(𝑧−1)(𝑧−2)𝑐 dz, where C is circle |𝑧| =
Appeared in: 2023-24 · 2024-25
Solve the following differential equation ( D2 -4D +4)y = 8x2 e2x sin 2𝑥
Appeared in: 2023-24 · 2024-25
Test for the convergence of the series
Appeared in: 2023-24 · 2024-25
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