Tiêu đề Partial Deff. Equations.pdf ✅

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Unit - I CHAPTER - 1 An Introduction to Partial Differential Equations 1-69 Order and Degree; Linear Partial Differential Equation of First Order; Lagrange's Linear Equation; Compatible System of First Order Equations; Lagrange's Auxiliary Equations; Charpit's Method; Jacobi's Method; Monge's Method of the Type (Rr+Ss+Tt = V); Unit - II CHAPTER-2 Partial Differential Equations of Second Order 70-96 Linear Homogeneous Partial Differential Equation with Constant Coefficients; Method of finding P.I. of A Linear Homogeneous Partial Differential Equation; Non-Homogeneous Linear Partial Differential Equation with Constant Coefficients; Method for Finding the C.F. and P.I. of Non-Homogeneous Equations with Constant Coefficients; Equations Reducible to Linear Partial Differential Equation with Constant Coefficient; CHAPTER-3 Elliptic Differential Equations 97-163 Product Method : Solutions fo Boundary Value Problems by The Method fo Separation of Variables; Laplace Equation; Harmonic Function; Solution of two Dimensional Laplace Equation : Separation of Variables; Solution of Laplace Equation of Three Dimensional; Solution of Two-dimensional Laplace Equation in Plane Polar Coordinate; Solution of Laplace Equatin in Cylindrical Coordinates; Solution of Laplace Equation in Spherical Coordinates; Unit - III CHAPTER - 4 Parabolic Differential Equations 164-196 One Dimensional Heat Equation; Solution of One Dimensional Heat Equation; Solution of Two Dimensional Heat Equation; Solution of Three Dimensional Heat Equation; Solution of Hat Equation in Cylindrical Coordinates; Solution of Hat Equation in Spherical Coordinates; Uniqueness of the Solution and Maximum-Minimum Principle; CHAPTER - 5 Hyperbolic Differential Equations 197-240 Forms of Wave Equation; Derivation of One Dimensional Wave Equation; Derivation of Two Dimensional Wave Equation; Solution of One Dimensional Wave Equation; D'Alembert's Solution of Wave Equation; Solution of Two Dimensional Wave Equation; Forced Vibrations : Solution of Non- Hameogeneous Equation; Boundary and Initial Value Problems for Two Dimensional Wave Equation : Method of Eigen Function; Solution of Wave Equation in Polar Coordinates : Vibration of A Circular Membranes; Solution of Wave Equation in Cylindrical Coordinates; Solution of Wave Equation in Spherical Polar Coordinates; Uniqueness of the Solution for the Wave Equation; CONTENTS