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

Solved Question Paper

Mathematics-2 May-2023

PTU • B-TECH • Mechanical Engineering • 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) Find the integrating factor of differential equation: (x^2 + y^2 + x) dx + xydy = 0; x > 0.
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  2. (b) Solve the differential equation: x^2\left(\frac{dy}{dx}\right)^2 + xy\frac{dy}{dx} - 6y^2 = 0.
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  3. (c) Define homogeneous linear differential equation with constant coefficients.
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  4. (d) Find the differential equation of all spheres of fixed radius having centres in xy-plane.
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  5. (e) Solve the Lagrange’s equation: p + q = 0.
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  6. (f) Classify the differential equation: \(\frac{\partial^2 y}{\partial t^2} = c\frac{\partial^2 y}{\partial x^2}\).
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  7. (g) What are the advantages of Regula Falsie method?
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  8. (h) What is the relation between \(\nabla\) and \(\mathbf{E}\)?
    Very Short Answer 2 Marks May-2023 • PTU B-TECH
  9. What is Simpson's \(\frac{1}{3}\) - rule?
    Very Short Answer 2 Marks May-2023 • PTU B-TECH

  10. State Euler\'s modified iteration formula.

    Very Short Answer 2 Marks May-2023 • PTU B-TECH


  11. Solve \(y''' - y'' + 4y' - 4y = \sin 3x\).
    Long Answer 8 Marks May-2023 • PTU B-TECH
  12. Solve the differential equation \((1-x^2)\frac{d^2y}{dx^2}-2x\frac{dy}{dx}+2y=0\).
    Long Answer 8 Marks May-2023 • PTU B-TECH
  13. Solve the following Lagrange's partial differential equation :
    \[(y+z)p+(z+x)q=(x+y)\]
    Long Answer 8 Marks May-2023 • PTU B-TECH
  14. Solve the equation \(p^2=q+px\) Charpit's method.
    Long Answer 8 Marks May-2023 • PTU B-TECH
  15. Use bisection method to solve the equation \(x^3+x^2+x+7=0\) correct to three decimal places.
    Long Answer 8 Marks May-2023 • PTU B-TECH
  16. Given that \(\sum_{11} f(x)=44060\), \(\sum_{14} f(x)=38220\), \(\sum_{17} f(x)=27178\), and \(f(20)=8450\).
    Find the value of f(11).
    Long Answer 8 Marks May-2023 • PTU B-TECH
  17. Solve the initial value problem \(y' = x(y-x),\ y(2)=3\) in the interval \([2,24]\) using the classical Runge-Kutta fourth order with step size \(h=0.2\).
    Long Answer 8 Marks May-2023 • PTU B-TECH
  18. Tabulate the solution of \(\frac{dy}{dx}=x+y,\ y(0)=0\) for \(0.4\le x\le 1.0\) with \(h=0.1\) using Predictor Corrector formula.
    Long Answer 8 Marks May-2023 • PTU B-TECH

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FAQ

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Answers about this subject, solved papers, and preparation.

Updated regularly
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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