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Ordinary Differential Equations

Unit 1- Existence and uniqueness of solutions of initial value problems for first order differential equations, linear second order equationsView Link
Unit 2- Linear differential equations of nth order, variation of parameters, dependence of solutions on initial conditions, existence and uniqueness theorem for higher order and system of differential equations, eigen value problems, SturmView Link
Unit 3- Power series solutions of linear differential equationsView Link
Unit 4- Linear systems of homogeneous and non-homogeneous equations (Matrix method)
Linear and nonlinear autonomous system of equations: Phase plane, Critical Points, Stability
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Unit 5- chapter 5View Link

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