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Title      : Math 1.5 Differential Equations
Subject      : Mathematics
Author      : KSOU
Publisher      : K S O U
Chapters/Pages      : 13/151
Total Price      : Rs.      : 109
 
 
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Chapters
     
Existence of Solutions of ODE Total views (765)  
In this unit, the reader will learn some basic definitions of ordinary differential equations. Also the reader will study the existence and uniqueness of solutions of initial value problem and a system of differential equations. In order to fully understand the proofs of these theorems, the reader must be familiar with certain concepts of real function theory.
Pages: 8
Price: Rs 0  
 
Methods of Solving ODE - 1 Total views (761)  
In this unit, the reader first learn the definitions of linearly independent and linearly dependent set of functions. Then they study the fundamental set of solutions for ordinary differential equations, Wronskian, Adjoint differential equations and Green's formula.
Pages: 29
Price: Rs 21.75  
 
Methods of Solving ODE -2 Total views (754)  
In this unit the reader studies the zeros of solutions of ODE. Sturm's separation theorem. Sturm's comparison theorem , Sturm-Liouville problems. The reader also study the method of variation o f parameters. Eigenvalue problems.
Pages: 16
Price: Rs 12  
 
Eigen function and Green's Function Total views (758)  
In this unit the reader studies about the Eigenfunctions. Eigenfunction expansion formula. Green's function.
Pages: 6
Price: Rs 4.5  
 
Power Series Solution of ODE Total views (755)  
In this unit, the reader studies the power series solution o f linear equations of second order around ordinary and regular singular points.
Pages: 10
Price: Rs 7.5  
 
Special Functions Total views (756)  
In this unit, the reader studies the power series solution by Frobenius method for Laguerre equation, Hermite differential equation, Chebyshev equation, hypergeometric equation.
Pages: 15
Price: Rs 11.25  
 
Solutions to Linear system of ODE Total views (759)  
The main objective of this unit is the study of linear system of ordinary differential equations.
Pages: 8
Price: Rs 6  
 
Solutions to Non-Linear System of ODE Total views (759)  
The objective of this unit is the study of Non-linear Autonomous system of ordinary differential equations, critical points, path and their nature. The reader also studies the method to find the nature of critical points. stability and paths by Liapunov direct method.
Pages: 12
Price: Rs 9  
 
Introduction to PDE Total views (758)  
In this unit, the reader studies about introduction and formation of partial differential equation (PDE). They also study the classification of first order PDE and some basic definition pertaining to POE.
Pages: 8
Price: Rs 6  
 
Cauchy Problem Total views (759)  
In this unit, the reader studies about the Cauchy problem, principle of superposition. They also study the method of characteristics to solve semi-linear, quasilinear and non-linear PDEs.
Pages: 14
Price: Rs 10.5  
 
Complete Integrals of PDE Total views (762)  
In this unit, the reader studies various methods such as Charpit's method, Jacobi's method for finding the solution (Complete integral) of POE.
Pages: 12
Price: Rs 9  
 
Classification of Second Order PDE Total views (764)  
In this unit the reader studies classification of second order partial differential equation. They also study the method of characteristics and classify the given second order POE to its respective canonical form.
Pages: 11
Price: Rs 8.25  
 
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Uploaded by Admin content
Pages: 2
Price: Rs 1.5  
 


 
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