BT-202 RGPV B.Tech
Mathematics‑II
Previous year papers and the official syllabus are free to read, no account needed.
Previous Year Papers
7 papers, latest Jun 2025
- BT-202 paper, Jun 2025
- BT-202 paper, Dec 2024
- BT-202 paper, Jun 2024
- BT-202 paper, Dec 2023
- BT-202 paper, Jun 2023
- BT-202 paper, Nov 2022
Syllabus, notes and important questions for BT-202
Syllabus units
Topics as the official RGPV syllabus lists them.
Unit 1 Ordinary Differential Equations I 5 topics
- Differential equations of first order and first degree (Leibnitz linear, Bernoulli’s, Exact)
- Differential equations of first order and higher degree
- Higher‑order differential equations with constant coefficients
- Homogeneous linear differential equations
- Simultaneous differential equations
Unit 2 Ordinary Differential Equations II 5 topics
- Second‑order linear differential equations with variable coefficients
- Method of variation of parameters
- Power‑series solutions
- Legendre polynomials
- Bessel functions of the first kind and their properties
Unit 3 Partial Differential Equations 3 topics
- Formulation of partial differential equations
- Linear and non‑linear partial differential equations
- Homogeneous linear partial differential equations with constant coefficients
Unit 4 Functions of Complex Variable 9 topics
- Analytic functions
- Harmonic conjugate
- Cauchy‑Riemann equations (without proof)
- Line integral
- Cauchy‑Goursat theorem (without proof)
- Cauchy integral formula (without proof)
- Singular points, poles & residues
- Residue theorem
- Application of residue theorem for evaluation of real integrals (unit circle)
Unit 5 Vector Calculus 9 topics
- Differentiation of vectors
- Scalar and vector point functions
- Gradient and its geometrical meaning
- Directional derivative
- Divergence and curl
- Line integral, surface integral and volume integral
- Gauss divergence theorem
- Stokes theorem
- Green’s theorem
Exam insights
Counted from 6 past BT-202 papers.
Marks asked per paper, by unit
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Unit 1 Ordinary Differential Equations I 26 marks
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Unit 2 Ordinary differential Equations II 18 marks
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Unit 3 Partial Differential Equations 18 marks
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Unit 4 Functions of Complex Variable 27 marks
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Unit 5 Vector Calculus 24 marks
Average marks of the questions from each unit in one paper. You answer only some of them, so the total is more than the paper’s maximum.
Asked again and again
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Solve $(D^2+a^2)y = \tan ax$ (including special cases $a=2,3$) by the method of variation of parameters.
Asked 4 times: 2025, 2023, 2022
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Find the poles and the residues at each pole for a given complex function involving higher-order or simple poles.
Asked 3 times: 2025, 2024, 2023
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Solve $(1+y^2)dx = (\tan^{-1}y - x)dy$ as a linear equation in $x$ as function of $y$.
Asked 3 times: 2024, 2023