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• Differential equation; basic concepts and ideas.
• Geometrical interpretation of first and second order differential equations
• Separable equations and equations reducible to separable form
• Exact differential equations and integrated factors
• Linear first order differential equations and Bernoulli‟s differential equation.
• Families of curves, orthogonal trajectories and applications of differential equations of first order to relevant engineering systems
• Homogeneous linear differential equations of second order
• homogeneous equations with constant coefficients
• General solutions
• Mid term exam
• Initial and boundary value problems
• D-operator, complementary functions and particular integrals.
• Real, complex and repeated roots of characteristics equations.
• Cauchy equation ad nonhomogeneous linear equations.
• Applications of higher order linear differential equations
• Ordinary and regular points and corresponding series solutions
• Introduction to Laplace transformation
• Final term exam