MTL102: Difference between revisions
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== MTL102 : Differential Equations == | == MTL102 : Differential Equations == | ||
Systems of differential equations, Existence and uniqueness theorems for initial value problems of semilinear and nonlinear ODEs, continuous dependence and well-posed ness; Comparison theorems of Sturms, Sturm-Liouville eigenvalue problems; Phase-plane analysis, Linear and Non-linear stability, Liapunov functions and applications;First order Partial differential equations, Method of characteristics, local and global solutions, envelop of solutions, complete and general solutions; Second order equations: Heat and Wave equation, fundamental solutions, method of eigenfunctions, Duhamel's principle. Maximum priciples for Heat and Laplace equation,Greens functions. | Systems of differential equations, Existence and uniqueness theorems for initial value problems of semilinear and nonlinear ODEs, continuous dependence and well-posed ness; Comparison theorems of Sturms, Sturm-Liouville eigenvalue problems; Phase-plane analysis, Linear and Non-linear stability, Liapunov functions and applications;First order Partial differential equations, Method of characteristics, local and global solutions, envelop of solutions, complete and general solutions; Second order equations: Heat and Wave equation, fundamental solutions, method of eigenfunctions, Duhamel's principle. Maximum priciples for Heat and Laplace equation,Greens functions. | ||
Latest revision as of 16:42, 14 April 2026
| MTL102 | |
|---|---|
| Differential Equations | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | |
| Overlaps | MTL260 |
MTL102 : Differential Equations
Systems of differential equations, Existence and uniqueness theorems for initial value problems of semilinear and nonlinear ODEs, continuous dependence and well-posed ness; Comparison theorems of Sturms, Sturm-Liouville eigenvalue problems; Phase-plane analysis, Linear and Non-linear stability, Liapunov functions and applications;First order Partial differential equations, Method of characteristics, local and global solutions, envelop of solutions, complete and general solutions; Second order equations: Heat and Wave equation, fundamental solutions, method of eigenfunctions, Duhamel's principle. Maximum priciples for Heat and Laplace equation,Greens functions.