This course covers several topics in ordinary differential equations. So it covers the following topics: First order and first degree differential equations-separable equations- homogeneous equation- exact equations, linear equations- Bernolli equations-Ricati equations)-applications- initial and boundary value problems- Higher order linear differential equations with constant coefficients-homogeneous linear equations with constant coefficients- reduction of order-non-homogeneous equations-methods of particular solutions-operator method-general method (variation of parameters-method of undetermined coefficients-applications Linear differential equations with variable coefficients ( Cauchy-Euler equations ).