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Differential Equations: Course Outline BSSE

A differential equation contains one or more terms involving derivatives of one variable (the dependent variable, y) with respect to another variable (the independent variable, x)

Topics

Ordinary Differential Equations       

  • Revision of Integration
  • Differential Equations and their Classification
  • Formulation of Differential Equations

First Order Differential Equations       

  • Solution of differential equations
  • Separable differential equation
  • Homogeneous differential equation
  • Exact differential Equations
  • Integrating factor
  • Linear differential Equations
  • Bernoulli differential equations
  • Applications of first order differential equations

Second Order Differential Equations          

  • Solution of Homogeneous Linear 2nd and higher order differential Equations
  • Solution of non-homogeneous Linear 2nd and higher order differential Equations
  • Method of Undetermined Coefficients
  • Variation of Parameters
  • The Cauchy Euler Equation
  • Application of 2nd and higher order differential equations

Laplace Transform     

  • Laplace Transform of derivatives and integrals
  • Applications of Laplace Transform to solve Differential equations

Text Books

E-Books (Full Text)