Explore the intricacies of non-homogeneous partial differential equations through an in-depth 3.5-hour lecture series. Delve into the complementary function (CF) and particular integral (PI) methods, examining their rules and applications. Cover essential topics such as partial derivatives, functions of two variables, and the limit definition. Investigate the Wronskian, linearly independent and dependent solutions, and Abel's Formula. Study orthogonal trajectories, singular solutions, and the order and degree of differential equations. Learn to form differential equations and solve them using various methods, including variable separable, homogeneous, and linear approaches. Master the concepts and techniques necessary to tackle complex partial differential equations with confidence.
Overview
Syllabus
Partial Differential Equation | Non Homogeneous PDE | Rules of CF & PI.
Partial Differential Equation | Non Homogeneous PDE | Rules of PI.
Partial Derivative | Function Of Two Variable | Examples By Limit Definition.
Differential Equation - Wronskian | linearly independent & Dependent Solution | Abel's Formula.
Orthogonal Trajectories - Differential Equation | Definition & Examples.
Singular Solution - Differential Equation | Singular Solution Examples.
Differential Equation | Order And Degree With Concept & Example By GP Sir.
Differential Equation | Formation Of Differential Equation - Concept & Example By GP Sir.
Differential Equation | Variable Separable Method - Concept & Example By GP Sir.
Differential Equation | Reducible Into Separation Of Variable - Concept & Example By GP Sir.
Differential Equation | HOMOGENEOUS Differential Equation - Concept & Example By GP Sir.
Differential Equation | REDUCIBLE HOMOGENEOUS Differential Equation - Concept & Example By GP Sir.
Differential Equation | Linear Differential Equation - Concept & Example By GP Sir.
Differential Equation | Reducible Linear Differential Equation - Concept & Example By GP Sir.
Taught by
Gajendra Purohit
