Families of curves, orthogonal trajectories and applications of differential equations of first order to relevant engineering systems
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Course Material
- 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
- Chapters 18
- Department Engineering Technology
- Teacher
Ms. Rida Malik
