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• Introduction , basic concepts of differential equation(D. E); geometrical interpretation of first order D. E
• Separable equations and Reducible to Separable form,
• Exact D. E ,Integrated factors and Linear first order D.E
• Bernoulli‟s D, E and Families of curves
• Homogeneous linear D.E of second order
• homogeneous D. E with constant coefficients and general solutions
• Initial and boundary value problems, D- operator
• complementary functions and particular integrals. Real, complex and repeated roots of characteristics equations
• Mid Term Exam
• Cauchy equation and Applications of higher order linear differential equations
• Ordinary and regular points and corresponding series solutions.
• Legendre equations
• Bessel Function
• Gaussian Elimination Techniques
• RREF, Rank of Matrix
• Inverse of Matrix by Using G. E
• Application of Eign Value and Eign Vectors
• Final Exam