Solved question paper for Math2 May-2023 (B-TECH 1st-2nd)

Solved Question Paper

Mathematics-2 May-2023

PTU • B-TECH • Information Technology • 1st-2nd • May-2023

Mathematics-2 previous year question papers on BRpaper are organized for students of Punjab Technical University’s Bachelor of Technology program, 1st-2nd semester. This section makes it easier to browse subject-wise old question papers for Mathematics-2, so students can review how questions are typically framed in past exams and get a sense of the exam pattern. Many students search for mathematics-2 syllabus while preparing for exams, and this page is built to support exactly that kind of subject-wise browsing and revision. BRpaper is not the official website of Punjab Technical University or any institution, and it does not publish official notices or academic updates.

Solved Questions

Solved
  1. a) Solve y+px = x^4p^2
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  2. b) Solve (y - px)(p - 1) = p
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  3. c) Find the particular integral of \(\frac{d^3y}{dx^3}+4\frac{dy}{dx}=\sin 2x\)
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  4. d) Solve \(\frac{d^2x}{dt^2}+5\frac{dx}{dt}+6x=0\) given \(x(0)=0,\ \frac{dx}{dt}(0)=15\).
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  5. e) Solve \(\frac{dy}{dx}+2xy=x\).
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  6. f) Define harmonic function.
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  7. g) Find the residue at z = 0 of zcos\(\frac{1}{z}\).
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  8. h) State Liouville's theorem.
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  9. i) Find all the values of z such that \(e^z=-2\).
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  10. j) Show that \(e^z\) is nowhere analytic.
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  11. a) Solve \(xy(1+xy^2)\frac{dy}{dx}=1\)
    Long Answer 8 Marks May-2023 • PTU B-TECH
  12. b) Solve \(e^{4x}(p-1)+e^{2y}p^2=0\)
    Long Answer 8 Marks May-2023 • PTU B-TECH
  13. Solve x(1-x^2)\frac{dy}{dx}+(2x^2-1)y=x^3
    Long Answer 8 Marks May-2023 • PTU B-TECH
  14. a) Using method of variation of parameters, solve \(\frac{d^2y}{dx^2}-\frac{2}{x}\frac{dy}{dx}+y=e^x\log x\).
    Long Answer 8 Marks May-2023 • PTU B-TECH
  15. b) Solve y''+6y'+13y=0, y(0)=3, y'(0)=-1.
    Long Answer 8 Marks May-2023 • PTU B-TECH
  16. Solve \(x^2\frac{d^2y}{dx^2}+3x\frac{dy}{dx}+y=\frac{1}{(1-x)^2}\).
    Long Answer 8 Marks May-2023 • PTU B-TECH
  17. a) Evaluate \(\phi_c\int_c\frac{e^z}{(z^2+\pi^2)^2}\,dz\) where C is |z|=4.
    Long Answer 8 Marks May-2023 • PTU B-TECH
  18. b) Find Laurent's expansion of \(f(z)=\frac{z^7-2}{(z+1)(z-2)}\) in region \(1<|z+1|<3\).
    Long Answer 8 Marks May-2023 • PTU B-TECH
  19. If \(\frac{(1+i)^x+i^y}{(1-i)^x-i^y}=\alpha+i\beta\), prove that one of the values of \(\tan^{-1}\left(\frac{-\beta}{\alpha}\right)=\frac{1}{2}\pi+ y\log 2\).
    Long Answer 8 Marks May-2023 • PTU B-TECH
  20. Find the residue of \(f(z)=\frac{z^3}{(z-1)^4(z-2)(z-3)}\) as its poles and evaluate \(\phi_c f(z)\,dz\), where C is the circle |z|=2.5.
    Long Answer 8 Marks May-2023 • PTU B-TECH
  21. Find the analytic function whose real part is \(e^{2x}(x\cos2y- y\sin2y)\).
    Long Answer 8 Marks May-2023 • PTU B-TECH

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01 Where can I find Mathematics-2 previous year question papers for Bachelor of Technology, 1st-2nd semester?

This page lists Mathematics-2 question papers uploaded for Punjab Technical University Bachelor of Technology, 1st-2nd semester, organized for subject-wise browsing where available.

02 Are these official Punjab Technical University question papers?

BRpaper is not the official website of Punjab Technical University. These papers are shared for reference and revision purposes only and are not official university material.

03 How can previous year Mathematics-2 papers help in exam preparation?

Reviewing past papers can help you understand how questions are typically framed, notice commonly repeated topics, and get a sense of the exam pattern before your own exam.

04 What kind of topics does Mathematics-2 usually cover?

The question papers here relate to the official Mathematics-2 syllabus set by the university for this course and semester.

05 Does this page include a Mathematics-2 syllabus or solved answers?

This page focuses on providing access to the previous year question papers themselves. A separate question bank or solved answers may not be available for every paper.

06 Can I find papers for other subjects in the same Bachelor of Technology?

Yes, BRpaper organizes papers by university, course, stream, and semester, so you can browse other subjects within the same Punjab Technical University Bachelor of Technology.

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