Standard Form f(x,p)=g(y,q) — Study Resources & PYQs

Solution of the standard nonlinear PDE form f(x,p)=g(y,q).

Study resources

Multivariable Calculus playlist contents - GP Sir (Class Central index) (Article) — This index lists 'Non Linear PDE Standard Form-III' as its own lecture, which is exactly the f(x,p)=g(y,q) separable case, along with the other three standard forms.
Partial Differential Equation - GP Sir (Standard Forms I-IV) (Video) — Covers standard form III, f(x,p)=g(y,q), with the shortcut assumption u = x + ay and solved examples.
First-order special type partial differential equations (Ankara University lecture notes) (Article) — Covers equations that separate in the variables, f(x,p) = g(y,q), showing how each side is set equal to a constant and integrated.
III Standard Form f(p,x)=g(q,y) | Application of Charpit's Method - Unacademy lesson (Gajendra Purohit, Hindi) (Video) — Lesson solving the third standard (separable-variables) form f(p,x)=g(q,y), with a worked numerical example.
LibreTexts — Sequences and Series (Article) — Series and convergence tests, comparison, alternating, ratio and root tests.
MIT OpenCourseWare — Fourier Series and Partial Differential Equations (Article) — MIT course materials covering Fourier series and partial differential equations.
NPTEL — Numerical Analysis (Article) — Indian engineering mathematics reference for differential equations, series, transforms and numerical mathematical methods.

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