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).