This course covers: first order equations, second order equations, Laplace transform method, numerical solution of initial value problems, boundary-value problems.
There are several problems to be solved for each week. The problems are given in “Work Sheets”, and solutions “Answer Sheets”.
Basic Info
- Course Name: Differential Equations
- Lecturers: Prof. Jeffrey Robert Chasnov
- Sessions: T1A, T1B
- Course Page: http://www.math.ust.hk/~machas/ode/spring2016/index.html
- Semester: 2016-Spring
Work Sheets
Complex Numbers & Separable Equations
Linear First-Order Equations
Second-Order Homogeneous ODEs
Inhomogeneous ODEs
The Laplace Transform
Series Solutions
Cauchy-Euler Equations
Systems of Equations
Normal Modes
Fixed Points and Linear Stability
Fourier Series
Errata
In wk06_ans.pdf, at the last line of problem 2, the denominator of the coefficient of $x^2$ should be $120$ (instead of $240$).
In wk07_ans.pdf, problem 3-b), the second $e$ in the final result should be instead $1$
In wk08_ans.pdf, problem 2-b), the $2$ in $x_1(t)$ should be deleted (check the program above to see the correct answer). Similarly, in 3-a), there is a missing bracket in $x_1(t)$.
Acknowledgement
Special thanks to Mr. Yuqi Zhao for providing several solution sheets (those without attributes).
