
Notes & SolutionsTMH-ODE-COMPLETE-BOOK
Ordinary Differential Equations (ODE) — Complete Course Notes & Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Ordinary Differential Equations (ODE)University / ADP, BS, BSc and MSc revision
Study Ordinary Differential Equations (ODE) with first-order methods, Laplace transforms, systems, series, Sturm–Liouville, numerical methods and applications. 26 visible chapters progress from first-order equations to dynamical systems, Sturm–Liouville theory, numerical methods and asymptotics.
7 mapped course placements
- ADP Mathematics — Books, Notes & Solutions → Differential Equations / Applied Mathematics
- BS Mathematics — Books, Notes & Solutions → Differential Equations / Applied Mathematics
- Legacy BSc Mathematics — Books, Notes & Solutions → Differential Equations
- Legacy MSc Mathematics — Books, Notes & Solutions → Differential Equations / Mathematical Methods
- Mathematics Library — separate owner-resource record
- Mathematics for Computing & Other Programs — contextual ODE discovery where relevant
- Related from Numerical Analysis, PDE, Mathematical Modelling, Calculus and Linear Algebra

Notes & SolutionsTMH-PDE-VOLUME-I
Partial Differential Equations (PDE) — Volume I
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Partial Differential Equations (PDE)University / BS, BSc, MSc and MS/MPhil bridge
Study Partial Differential Equations from characteristics and classification to wave, heat, Laplace/Poisson equations, Fourier and Laplace transforms, Green functions, numerical PDEs, Sobolev spaces, variational methods and nonlinear PDEs. 32 chapters cover classical equations, transforms, Green functions, numerical PDEs, weak formulations, variational methods and nonlinear PDEs.
6 mapped course placements
- BS Mathematics — Partial Differential Equations / Applied Mathematics
- Legacy BSc Mathematics — PDE / Mathematical Methods where the scheme supports it
- Legacy MSc Mathematics — Partial Differential Equations / Applied Mathematics
- MS / MPhil Mathematics — classical-to-modern PDE bridge
- Mathematics Library — separate owner-resource record
- Related from ODE, Numerical Analysis, Fourier Analysis, Functional Analysis, Vector & Tensor Analysis and Mathematical Modelling
BooksLIB-0166
Differential Equations
Moschandreou, Terry E.
CalculusADP / BS / MS-MPhil
IntechOpen · 2018 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0683
Ordinary Differential Equations
Stephen Wiggins
CalculusADP / BS / MS-MPhil
Stephen Wiggins · 2017 · Attribution
BooksLIB-0519
Recent Developments in the Solution of Nonlinear Differential Equations
Carpentieri, Bruno
CalculusADP / BS / MS-MPhil
IntechOpen · 2021 · https://creativecommons.org/licenses/by/3.0/
BooksLIB-0529
Scaling of Differential Equations
Langtangen, Hans Petter; Pedersen, Geir K.
CalculusADP / BS / MS-MPhil
Springer Nature · 2016 · https://creativecommons.org/licenses/by-nc/2.5/
BooksLIB-0540
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018
Sherwin, Spencer J.; Moxey, David; Peiró, Joaquim; Vincent, Peter E.; Schwab, Christoph
CalculusBS / MS-MPhil / PhD
Springer Nature · 2020 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0038
Advances in Boundary Value Problems for Fractional Differential Equations
Luca, Rodica
Differential EquationsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0041
Advances in Delay Differential Equations
Kashchenko, Alexandra
Differential EquationsADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0065
An Introductory Course in Differential Equations with Applications
Khalid Latif Mir
Differential EquationsBS
Ilmi Kitab Khana · Commercial copyright
BooksLIB-0067
An Introductory Course in Partial Differential Equations: Theory & Application
Khalid Latif Mir
Differential EquationsBS / MS-MPhil
Ilmi Kitab Khana · Commercial copyright
BooksLIB-0079
Applications of Partial Differential Equations
Wong, Patricia J. Y.
Differential EquationsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0082
Applied Analysis of Ordinary Differential Equations
Balasuriya, Sanjeeva
Differential EquationsADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 1st · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0165
Differential Equation Models in Applied Mathematics
Diele, Fasma
Differential EquationsADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0167
Differential Equations for Studies in Computational Electrophysiology
Horgmo Jæger, Karoline; Tveito, Aslak
Differential EquationsADP / BS / MS-MPhil
Springer Nature · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0168
Differential Equations - Theory and Current Research
Terry E. Moschandreou
Differential EquationsBS / MS-MPhil / PhD
IntechOpen · 1st Edition
BooksLIB-0191
Elementary Differential Equations with Boundary Value Problems
William F. Trench
Differential EquationsBS
Author / Trinity University repository · July 2013 version · CC BY-NC-SA 3.0
BooksLIB-0229
Fractional Differential Equations, Inclusions and Inequalities with Applications
Ntouyas, Sotiris K.
Differential EquationsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2020 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0230
Fractional Differential Equations: Theory, Methods and Applications
Nieto, Juan J.; Rodríguez-López, Rosana
Differential EquationsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 1st · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0233
From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications
Schäfer, Uwe
Differential EquationsADP / BS / MS-MPhil
KIT Scientific Publishing · 2014 · https://creativecommons.org/licenses/by-sa/4.0/
BooksLIB-0288
Inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations
Ströhle, Timo
Differential EquationsBS / MS-MPhil / PhD
KIT Scientific Publishing · 2024 · https://creativecommons.org/licenses/by-sa/4.0/
BooksLIB-0339
Mathematical Modeling using Differential Equations, and Network Theory
Dassios, Ioannis
Differential EquationsADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2020 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0340
Mathematical Modeling with Differential Equations in Physics, Chemistry, Biology, and Economics
Palestini, Arsen
Differential EquationsADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2022 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0389
Models of Delay Differential Equations
Rodríguez, Francisco; Cortés López, Juan Carlos; Castro, María Ángeles
Differential EquationsADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0400
Multidimensional Inverse and Ill-Posed Problems for Differential Equations
Anikonov, Yu. E.
Differential EquationsADP / BS / MS-MPhil
De Gruyter · 1995 · https://creativecommons.org/licenses/by-nc-nd/4.0/
BooksLIB-0406
New developments in Functional and Fractional Differential Equations and in Lie Symmetry
Stavroulakis, Ioannis; Jafari, H
Differential EquationsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0410
New Trends in Fractional Differential Equations with Real-World Applications in Physics
Singh, Jagdev; Yankov Hristov, Jordan; Hammouch, Zakia
Differential EquationsBS / MS-MPhil / PhD
Frontiers Media SA · 2020 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0414
Nonlinear Differential Equations and Dynamical Systems
Minhós, Feliz Manuel; Fialho, João
Differential EquationsADP / BS / MS-MPhil
MDPI - Multidisciplinary Digital Publishing Institute · 2021 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0418
Nonlinear Partial Differential Equations: Exact Solutions, Symmetries, Methods, and Applications
Kudryashov, Nikolai
Differential EquationsBS / MS-MPhil / PhD
MDPI - Multidisciplinary Digital Publishing Institute · 2023 · https://creativecommons.org/licenses/by/4.0/
BooksLIB-0421
Notes on Diffy Qs: Differential Equations for Engineers
Jiří Lebl
Differential EquationsBS
Author · Version 6.11 (May 18, 2026) · CC BY-SA / CC BY-NC-SA (see official page)