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• Week 01-02 : Introduction to differential equations: preliminaries and classification of differential equations,Verification of solution, existence of unique solutions
• Week 03-04: Introduction to initial value problems Differential equations as mathematical models
• Week 05-06: Separable equations, Linear equations , integrating factors, Exact Equations, Solution of some nonlinear first order DEs by substitution, Homogeneous Equations, Bernoulli equation
• Week 07-08: Modeling with first-order ODEs: Linear models, Nonlinear models, Higher order differential equations:
• Week 09- 10: Reduction of order, homogeneous equations with constant coefficients,Non homogeneous equations
• Week 11-12 Differential Equations with Variable Coefficients, Sturm-Liouville (S-L) System and Boundary-Value Problems
• Week 13-14: Series Solution and its Limitations, The Frobenius method.