WEEK

TOPICS

1

Introduction, Separable Equations, Homogeneous Equations, Linear Eqns.

2

Bernoulli Eqns., Exact Eqns, Integrating Factors, Eqns. of the form y'=G(ax+by)

3

Equations with linear coefficients, Riccati Eqns., Homogeneous Liner Eqns, Reduction of Order,

4

The method of undetermined coefficients,The method of variation of parameters, Cauchy-Euler Eqns.

5

Laplace Transforms, Inverse Laplace Transforms, Solving Initial Value Problems,Unit Step Function, Convolution,

6

Power Series Method (around ordinary point),Power series method (continued),

7

Fourier Series, Fourier Cosine-Sine series