1. Non-Homogeneous Second Order Differential Equation

2. We find the general solution of the homogeneous equation as before

3. Find a particular solution to the non homogeneous equation. This solution is called the particular integral and looks similar to f(x) The general solution of the non-homogeneous differential equation is the sum of the complementary function and the particular integral

4. How to find the particular integral

5. Complementary Function

6. Particular Integral equate coefficients

7. The general solution of the non-homogeneous differential equation is the sum of the complementary function and the particular integral

8. Complementary Function

9. Particular Integral equate coefficients

10. The general solution of the non-homogeneous differential equation is the sum of the complementary function and the particular integral

11. Complementary Function

12. Particular Integral

13. Complementary Function

14. Particular Integral

15. Complementary Function

16. Particular Integral

17. Complementary Function

18. Particular Integral

19. Product and Sum Rule