solution by Charpit's method — Study Resources & PYQs
Solution of first-order nonlinear partial differential equations using Charpit's method.
- Estimated study time: 30 minutes
Study resources
- 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.
- Charpit's Method | Partial Differential Equation (Applied Mathematics) (Video) — A second worked explanation of the same method, with the Charpit equations written out clearly on the board. Useful for cross-checking your steps.
- Charpit Method for Non Linear PDE (Engineering Mathematics) (Video) — Derives Charpit's auxiliary equations and then solves a complete problem with them. Explains how the four standard forms are just special cases of this general method.
- NPTEL - Ordinary and Partial Differential Equations and Applications (IIT Roorkee) (Article) — Free IIT Roorkee course. Its PDE section explicitly covers classification of first order PDEs, non-linear PDEs, the Cauchy method of characteristics and Charpit's method. Video lectures plus transcri…
Taught in these subjects
- ENGINEERING MATHEMATICS-II — BST1201 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BST1201 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BST1201 · Government College of Engineering and Technology, Jammu