Non-Linear Partial Differential Equations of First Order — Study Reso…
Introduction to first-order nonlinear partial differential equations.
- Estimated study time: 60 minutes
Study resources
- Multivariable Calculus playlist contents - GP Sir (Class Central index) (Article) — This index lists 'Non Linear PDE Standard Form-I, II, III' and 'Standard form-IV | Clairaut's Form' as separate lectures, plus Lagrange form and Charpit's method. Use it to open exactly the standard…
- Partial Differential Equation - GP Sir (Standard Forms I-IV) (Video) — All four standard forms taught one after another with the shortcut assumptions (z = ax + by + c, u = x + ay, etc.) and solved examples. Learn the shortcuts before attempting Charpit's method.
- First-order special type partial differential equations (Ankara University lecture notes) (Article) — University lecture notes introducing non-linear first-order PDEs and the special types that can be solved without the full Charpit procedure.
- Partial Differential Equation - Unacademy course (Gajendra Purohit, Hindi) (Video) — 15-lesson course covering formation of PDEs, Lagrange's method for first-order linear PDEs, Charpit's method, and all four standard forms (including Clairaut's) used with Charpit's method.
- Paul's Online Math Notes - First Order Differential Equations (Article) — Chapter index covering linear equations (integrating factor method), separable equations, exact equations and Bernoulli equations, each with its own detailed page and examples.
- Ordinary Differential Equation 2.0 (Updated Lectures) - GP Sir (Video) — Latest ODE series starting from order and degree, then variable separable, homogeneous, linear and Bernoulli forms. This is the recommended playlist for the ODE part of the syllabus.
Taught in these subjects
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu