1. Ordinary differential equations. General, particular and singular solutions. Separable and homogeneous equations.
2. Linear differential equations of the first order, method of variation of arbitrary constant. Bernoulli’s DE. Exact DE.
3. n-order linear differential equations, linearly independent solutions, Wronskian, fundamental system of solutions.
4. n- rder LDE with constant coefficients - method of variation of arbitrary constants.
5. n-order LDE with constant coefficients - method of undetermined coefficients.
6. Systems of n ordinary linear differential equations of the first order for n functions.
7. Systems of n ordinary linear differential equations of the first order for n functions with constant coefficients.
8. Aplication of DE.
9. Infinite number series.
10. Alternating series.
11. Infinite series of functions.
12. Power series.
13. Aplications of power series.
14. Fourier series.
2. Linear differential equations of the first order, method of variation of arbitrary constant. Bernoulli’s DE. Exact DE.
3. n-order linear differential equations, linearly independent solutions, Wronskian, fundamental system of solutions.
4. n- rder LDE with constant coefficients - method of variation of arbitrary constants.
5. n-order LDE with constant coefficients - method of undetermined coefficients.
6. Systems of n ordinary linear differential equations of the first order for n functions.
7. Systems of n ordinary linear differential equations of the first order for n functions with constant coefficients.
8. Aplication of DE.
9. Infinite number series.
10. Alternating series.
11. Infinite series of functions.
12. Power series.
13. Aplications of power series.
14. Fourier series.