GTU · First Year Common · Semesters 1 and 2

GTU 3110015 Mathematics - 2 (Maths 2) Old Question Papers PDF

Official Gujarat Technological University (GTU) old question papers PDF (Regular & Remedial) and step-by-step solved questions for Mathematics - 2 (Maths 2) across 2023 – 2025 examinations.

6 papers, 2023 – 202570 marks23 to pass2.5 hours

27 questions GTU asked more than onceAsked in all 6 papers: Verify Green’s theorem in the plane for

\vec{F} = (x^2 + y^2)\hat{i} - 2xy\hat{j}

taken around the rectangle bounded by the lines

x = \pm 1, y = 0

and

y = 2

.See list

Exam papers

Winter 20255 questions · 70 marks

Read paper PDF

Summer 20255 questions · 70 marks

Read paper PDF

Winter 20245 questions · 70 marks

Read paper PDF

Summer 20245 questions · 70 marks

Read paper PDF

Winter 20235 questions · 70 marks

Read paper PDF

Summer 20235 questions · 70 marks

Read paper PDF

Most repeated questions

27 questions GTU set in two or more of 6 papers, most repeated first. Tap a year to open that paper at the question.

Verify Green’s theorem in the plane for $\vec{F} = (x^2 + y^2)\hat{i} - 2xy\hat{j}$ taken around the rectangle bounded by the lines $x = \pm 1, y = 0$ and $y = 2$ .
7 marksSame type asked in 6 of 6 papers
Winter 2025 Q1c Summer 2025 Q1c Winter 2024 Q1c Summer 2024 Q1c Winter 2023 Q1c Summer 2023 Q1c
Apply Laplace transform to solve the initial value problem:
$y'' - 6y' + 9y = t^2 e^{3t}, \quad y(0) = 2, \; y'(0) = 6$
7 marksSame type asked in 6 of 6 papers
Winter 2025 Q3c Summer 2025 Q4c Winter 2024 Q3c OR Summer 2024 Q2c OR Winter 2023 Q2c Summer 2023 Q3c
Apply the variation of parameters method to solve the differential equation
$(D^2 - 3D + 2)y = e^x$
7 marksSame type asked in 6 of 6 papers
Winter 2025 Q2c OR Summer 2025 Q5c Winter 2024 Q4c Summer 2024 Q4c Winter 2023 Q4c OR Summer 2023 Q5c OR
Solve: (i) $(D^2 - 4)y = e^{2x} + e^{-4x}$ (ii) $(D^3 - 3D^2 - D + 3)y = 1$
7 marksSame type asked in 6 of 6 papers
Winter 2025 Q4c Winter 2025 Q4c OR Summer 2025 Q3a Summer 2025 Q3b Summer 2025 Q3a OR Summer 2025 Q3b OR Summer 2025 Q5c OR Winter 2024 Q4b Summer 2024 Q3a Summer 2024 Q4b OR Summer 2024 Q5b Winter 2023 Q3b Winter 2023 Q4a Winter 2023 Q4a OR Winter 2023 Q4b OR Summer 2023 Q4b Summer 2023 Q4b OR Summer 2023 Q5a Summer 2023 Q5a OR Summer 2023 Q5c
Find the Laplace transform of: (i) $t \cos^2 t$ (ii) $\frac{\sin t}{t}$
4 marksSame type asked in 6 of 6 papers
Winter 2025 Q2b Winter 2025 Q3a Summer 2025 Q4a Summer 2025 Q4b Summer 2025 Q4b OR Winter 2024 Q2a Winter 2024 Q3b Winter 2024 Q4b OR Winter 2024 Q5a OR Summer 2024 Q2a Summer 2024 Q3b OR Summer 2024 Q4a OR Winter 2023 Q2b Summer 2023 Q3a Summer 2023 Q3a OR
Find the series solution of $y'' = 2y'$ in powers of $x$ .
4 marksSame type asked in 6 of 6 papers
Winter 2025 Q5b Winter 2025 Q5c OR Summer 2025 Q2c Winter 2024 Q2c Summer 2024 Q5c Winter 2023 Q5b Winter 2023 Q5c Winter 2023 Q5b OR Summer 2023 Q2c
State convolution theorem for Laplace transform. Find the inverse Laplace transform of
$\frac{1}{s(s+1)}$
3 marksSame type asked in 6 of 6 papers
Winter 2025 Q3a OR Summer 2025 Q4a OR Summer 2025 Q4c OR Winter 2024 Q3a OR Winter 2024 Q3c Winter 2024 Q4a Summer 2024 Q2c Summer 2024 Q3b Winter 2023 Q2a Summer 2023 Q3b Summer 2023 Q3b OR
Solve: $x^2 p^2 + xyp - 6y^2 = 0$ .
3 marksSame type asked in 6 of 6 papers
Winter 2025 Q4a OR Summer 2025 Q5b Winter 2024 Q3b OR Summer 2024 Q3c Winter 2023 Q3c Winter 2023 Q3c OR Summer 2023 Q4c OR
Solve the Euler-Cauchy differential equation: $(4x^2 D^2 + 16xD + 9)y = 0$ .
4 marksSame type asked in 5 of 6 papers
Winter 2025 Q4b Summer 2025 Q3c OR Winter 2024 Q5b OR Summer 2024 Q5a Winter 2023 Q4b
Find the general solution of the differential equation: $y' + 2y \tan x = \sin x$ .
3 marksSame type asked in 5 of 6 papers
Winter 2025 Q4a Summer 2025 Q5a Summer 2025 Q5b OR Winter 2024 Q5a Winter 2023 Q3a Winter 2023 Q3a OR Summer 2023 Q4c

Show 17 more repeated questionsHide the 17 more

Find the Fourier cosine integral representation of
$f(x) = \frac{\pi}{2} e^{-x}, \quad x > 0$
7 marksSame type asked in 4 of 6 papers
Winter 2025 Q3c OR Summer 2025 Q1b Summer 2024 Q2b Summer 2023 Q3c OR
Solve $(D^2 - 2D + 3)y = x^3 + \sin x$ by using the method of undetermined coefficients.
7 marksSame type asked in 4 of 6 papers
Summer 2025 Q3c Winter 2024 Q2c OR Winter 2023 Q4c Summer 2023 Q5b Summer 2023 Q5b OR
Determine whether the vector field $\vec{u} = y^2 \hat{i} + 2xy \hat{j} - z^2 \hat{k}$ is solenoidal or irrotational at the point $(1, 2, 1)$ ?
4 marksSame type asked in 4 of 6 papers
Winter 2025 Q1b Summer 2025 Q1a Winter 2023 Q1b Summer 2023 Q1b
Find the general solution of the differential equation $x^2 y \, dx - (x^3 + xy^2) \, dy = 0$ .
4 marksSame type asked in 4 of 6 papers
Winter 2025 Q3b Winter 2025 Q3b OR Summer 2025 Q5a OR Summer 2024 Q3a OR Summer 2023 Q4a Summer 2023 Q4a OR
Show that
$\int_{-1}^1 x^2 P_{n-1}(x) P_{n+1}(x) \, dx = \frac{2n(n+1)}{(2n-1)(2n+1)(2n+3)}$
7 marksSame type asked in 3 of 6 papers
Summer 2024 Q5c OR Winter 2023 Q5c OR Summer 2023 Q2b Summer 2023 Q2c OR
Derive recurrence relation for the Bessel’s polynomial $J_n(x)$ .
4 marksSame type asked in 3 of 6 papers
Winter 2025 Q5b OR Winter 2024 Q5c Winter 2024 Q5c OR Summer 2024 Q5b OR
Classify the singular points of the differential equation $x^2 y'' + xy' - 2y = 0$ .
3 marksSame type asked in 3 of 6 papers
Winter 2025 Q5a Winter 2025 Q5a OR Winter 2023 Q5a Winter 2023 Q5a OR Summer 2023 Q2a
Apply the method of undetermined coefficients to solve the differential equation
$(D^2 - 2D + 5)y = 5x^3 - 6x^2 + 6x$
7 marksAsked in 2 of 6 papers
Winter 2025 Q2c Summer 2024 Q4c OR
Find the series solution of $(1 + x^2) y'' + xy' - 9y = 0$ .
7 marksAsked in 2 of 6 papers
Winter 2024 Q4c OR Summer 2024 Q3c OR
Using the power-series method, solve $(1 - x^2)y'' - 2xy' + 2y = 0$ .
7 marksAsked in 2 of 6 papers
Winter 2025 Q5c Summer 2025 Q2c OR
If $y_1 = x$ is one solution of $x^2 y'' + xy' - y = 0$ , find the second solution.
4 marksAsked in 2 of 6 papers
Winter 2025 Q4b OR Summer 2024 Q4b
Find the Fourier sine integral of $f(x) = e^{-bx}$ .
4 marksAsked in 2 of 6 papers
Winter 2024 Q2b Winter 2023 Q2c OR
If $y_1 = \frac{\sin x}{x}$ is one of the solution of $x y'' + 2y' + xy = 0$ , find the second solution.
4 marksSame type asked in 2 of 6 papers
Winter 2024 Q5b Winter 2023 Q3b OR
Find the directional derivative of $\phi = x y^2 + y z^2$ at the point $(2, -1, 1)$ in the direction of the vector $\hat{i} + 2\hat{j} + 2\hat{k}$ .
4 marksSame type asked in 2 of 6 papers
Summer 2025 Q2b Summer 2023 Q1a
Find $a$ such that $(x+3y)\hat{i} + (y-2z)\hat{j} + (x+az)\hat{k}$ is solenoidal.
3 marksAsked in 2 of 6 papers
Winter 2024 Q1a Winter 2023 Q1a
Solve $y e^x \, dx + (2y + e^x) \, dy = 0$ .
3 marksAsked in 2 of 6 papers
Summer 2025 Q2a Winter 2024 Q1b
Classify the singular points of the equation $x^3 (x - 2) y'' + x^3 y' + 6y = 0$ .
3 marksAsked in 2 of 6 papers
Winter 2024 Q4a OR Summer 2024 Q5a OR

Which branches take this subject

GTU's syllabus lists 3110015 for 45 branches. One set of papers serves all of them.

Semester 1: 45 branches

Aeronautical Engineering, Artificial Intelligence and Data Science, Artificial Intelligence and Machine Learning, Automobile Engineering, Bio-Technology, Biomedical Engineering, Chemical Engineering, Chemical Engineering (Green Technology & Sustainability Engineering), Chemical Technology, Civil & Infrastructure Engineering, Civil Engineering, Computer Engineering, Computer Science & Design, Computer Science & Engineering, Computer Science & Engineering (Artificial Intelligence and Machine Learning), Computer Science & Engineering (Cyber Security), Computer Science & Engineering (Data Science), Computer Science & Engineering (Internet of Things and Cyber Security Including Block Chain Technology), Electrical Engineering, Electronics & Communication Engineering, Electronics & Instrumentation Engineering, Electronics and Communication (Communication System Engineering), Electronics Engineering, Environmental Engineering, Environmental Science & Technology, Food Engineering & Technology, Food Processing Technology, Industrial Engineering, Information & Communication Technology, Information Technology, Instrumentation & Control Engineering, Manufacturing Engineering, Mechanical Engineering, Mechatronics Engineering, Metallurgy Engineering, Mining Engineering, Nano Technology, Plastic Technology, Plastics Engineering, Power Electronics, Production Engineering, Robotics and Automation, Rubber Technology, Smart & Sustainable Energy, Textile Technology

Other Semester 1 subjects

3110001Chemistry7 papers 3110002English7 papers 3110003Programming for Problem Solving7 papers 3110004Basic Civil Engineering7 papers 3110005Basic Electrical Engineering7 papers 3110006Basic Mechanical Engineering6 papers 3110007Environmental Sciences7 papers 3110011Physics7 papers 3110013Engineering Graphics & Design7 papers 3110014Mathematics - 17 papers

Common questions

Are these GTU 3110015 Mathematics - 2 papers valid for both Regular and Remedial exams?

Yes. Gujarat Technological University (GTU) follows the same 70-mark syllabus, exam blueprint, and 23-mark passing cutoff for both Regular and Remedial (ATKT/backlog) examinations. All 6 past exam sessions (2023 – 2025) serve as comprehensive preparation for either attempt.

How can I download GTU 3110015 Mathematics - 2 old question papers PDF?

You can download official GTU 3110015 original question paper PDFs directly from the table above with 1 click and zero deceptive ads or wait timers. Every paper also includes interactive online questions with AI study prompts.

What is the passing mark for GTU Mathematics - 2 (3110015)?

The external theory exam carries 70 marks. The minimum passing cutoff is 23 marks (33%). Exam duration is 2.5 hours.

What is the GTU exam pattern for 3110015?

The examination contains 5 main questions of 14 marks each, totaling 70 marks. Questions 2 through 5 provide internal OR choices, typically split into 3-mark, 4-mark, and 7-mark questions.