Differential Equations

Learning Outcomes

At the end of this course, the students will be able to: Use Laplace transformation to complete differential equations exercises; Apply the concepts of vector integral calculus; apply the concepts of multiple integral, n order linear differential equations, first order first degree differential equations, Laplace Transformation; Describe the concepts of vector differential calculus.

Topics

1. Differential equations with separable variables
2. Homogeneous differential equations
3. Differential equations that able to be homogenized
4. Exact differential equations
5. Differential equations that able to be exacted
6. Linear differential equations
7. Bernoulli differential equations
8. Homogenous n order differential equations
9. Non-homogeneous n order differential equations
10. Euler – Cauchy differential equations
11. Bessel function
12. Laplace transform and its properties
13. Laplace transform inverse and its properties and theory of convolution
14. Using Laplace transform to complete differential equations
15. Differential calculus/vector integral (multiple integral)
16. Line integral and Green Theorem
17. Line integral in space
18. Curvature surface area
19. Tripel integral
20. Gauss divergence theorem
21. Stoke’s theorem