Learn · Ordinary and Partial Differential Equations and Applications
Lecture 6 of 60Unit-2
Existence and uniqueness of solutions of a system of differential equations
Prof. P.N. Agrawal Prof. D. N Pandey · IIT Roorkee
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- Ordinary and Partial Differential Equations and Applications, IIT Roorkee (at NPTEL)
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All the lectures
- Introduction to differential equations-I
- Introduction to differential equations-II
- Existence and uniqueness of solutions of differential equations-I
- Existence and uniqueness of solutions of differential equations-II
- Existence and uniqueness of solutions of differential equations-III
- Existence and uniqueness of solutions of a system of differential equations
- Linear System
- Properties of Homogeneous Systems
- Solution of Homogeneous Linear System with Constant Coefficients-I
- Solution of Homogeneous Linear System with Constant Coefficients-II
- Solution of Homogeneous Linear System with Constant Coefficients-III
- Solution of Non-Homogeneous Linear System with Constant Coefficients
- Power Series
- Uniform Convergence of Power Series
- Power Series Solution of Second Order Homogeneous Equations
- Regular singular points-I
- Regular singular points-II
- Regular singular points-III
- Regular singular points-IV
- Regular singular points-V
- Critical points
- Stability of Linear Systems-I
- Stability of Linear Systems-II
- Stability of Linear Systems-III
- Critical Points and Paths of Non-linear Systems
- Boundary value problems for second order differential equations
- Self - adjoint Forms
- Sturm -Liouville problem and its properties
- Sturm -Liouville problem and its applications
- Green's function and its applications-I
- Green's function and its applications-II
- Origins and Classification of First Order PDE
- Initial Value Problem for Quasi-linear First Order Equations
- Existence and Uniqueness of Solutions
- Surfaces orthogonal to a given system of surfaces
- Nonlinear PDE of first order
- Cauchy method of characteristics-I
- Cauchy method of characteristics-II
- Compatible systems of first order equations
- Charpit's method-I
- Charpit's method-II
- Second Order PDE with Variable Coefficients
- Classification and Canonical Form of Second Order PDE-I
- Classification and Canonical Form of Second Order PDE-II
- Classification and Characteristic Curves of Second Order PDEs
- Review of Integral Transforms-I
- Review of Integral Transforms-II
- Review of Integral Transforms-III
- Laplace Equation-I
- Laplace Equation-II
- Laplace Equation-III
- Laplace and Poisson Equations
- One dimensional wave equation and its solution-I
- One dimensional wave equation and its solution-II
- One dimensional wave equation and its solution-III
- Two dimensional wave equation and its solution-I
- Solution of non-homogeneous wave equation
- Solution of homogeneous diffusion equation-I
- Solution of homogeneous diffusion equation-II
- Duhamel's principle