Utkal University, Odisha, Mathematics Semester 2, Differential Equations Syllabus

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Unit - 1 Differential Equations And Mathematical Models

Unit 1

Differential equations and mathematical models

1.1 Differential equations and mathematical models

1.2 General Particular explicit implicit and singular solutions of a differential equation

1.3 Exact differential equations and integrating factors

1.4 Separable equations and equations reducible to this form

1.5 Linear equations and Bernoulli’s equation

1.6 Special integrating factors and transformations.

Unit - 3 General Solution Of Homogeneous Equation Of Second Order

Unit 3

General solution of homogeneous equation of second order

3.1 General solution of homogeneous equation of second order principle of superposition

3.2 Wronskians its properties and applications

3.3 Method of undetermined coefficients

3.4 Method of variation of parameters

3.5 Linear homogeneous and nonhomogeneous equations of higher order with constant coefficients

3.6 Euler’s equation

Unit - 4 Equilibrium Points

Unit 4

Equilibrium points

4.1 Equilibrium points interpretation of the phase plane

4.2 Predatoryprey model and its analysis

4.3 Epidemic model of influenza and its analysis

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Other Subjects of Semester-2
Real analysis
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