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• Introduction of differential equation(D. E), Separable equations
• Reducible to Separable form, Related problems
• Exact D. E, integrated factors
• , Linear first order differential equations, Bernoulli’s differential equation
• Families of curves, orthogonal trajectories and applications of differential equations of first order to relevant engineering systems.
• Homogeneous linear D. E of second order
• homogeneous equations with constant coefficients, the general solutions,
• Initial and boundary value problems, D- operator,
• Mid Term Exam
• Complementary functions and particular integrals
• complex and repeated roots of characteristics equations
• Cauchy equation
• Non-homogeneous linear equations
• Applications of higher order linear differential equations
• Ordinary and regular points and corresponding series solutions
• Sequence
• Series
• Final Exam