Formal solutions represent series expansions that, while not necessarily convergent in the classical sense, satisfy the governing differential equations term by term. This concept has become ...

In this paper, we prove the general invertibility theorem for non-local pseudo-differential operators and using this, we establish the theorems of analytic continuation and of existence of holomorphic ...

NCERT Exemplar problems are a very good resource for preparing the critical questions like Higher Order Thinking Skill (HOTS) questions. Questions provided in the NCERT Exemplar not only make the ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...

Maths Class 12 Differential Equations MCQs: The Central Board of Secondary Education conducts the annual board exams for class 12, which are considered among the most important for students. The ...