Differential Equations: Course Outline BSSE

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

Laplace Transform     

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