Clairaut's Form — Study Resources & PYQs
Solution of nonlinear first-order PDEs in Clairaut's form.
- Estimated study time: 30 minutes
Study resources
- Multivariable Calculus playlist contents - GP Sir (Class Central index) (Article) — This index lists 'Standard form-IV | Clairaut's Form' as its own lecture, alongside the other three standard forms.
- Partial Differential Equation - GP Sir (Standard Forms I-IV) (Video) — Covers Clairaut's form as standard form IV, with the shortcut assumption z = px + qy + f(p,q) and solved examples.
- Special type IV: Clairaut equations (IIT Jodhpur lecture notes) (Article) — Defines the Clairaut-type first-order PDE u = x*ux + y*uy + f(ux,uy) and shows that its complete integral is obtained by direct substitution.
- IV Standard Form (Clairaut's Equation) - Unacademy course (Gajendra Purohit, Hindi) (Video) — Course whose 14th lesson solves the Clairaut-type PDE z = px + qy + f(p,q) as the fourth standard form handled by Charpit's method.
- LibreTexts — General First Order PDEs (Article) — Nonlinear first-order PDEs and Charpit equations.
- MIT OpenCourseWare — Fourier Series and Partial Differential Equations (Article) — MIT course materials covering Fourier series and partial differential equations.
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 — 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
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu