Syllabus

Introduction,

Separable Equations,

Homogeneous Equations, 

Exact Equations

Integrating Factors,

First Order Linear Equations,

Bernoulli Equation,

Equations with linaer Coefficients,

Riccati equation

Second Order Homogeneous Equations,

Reduction of Order,

Nonhomogeneous Equations (Method of Undetermined Coefficients, Method of Variation of Parameters)

Cauchy-Euler Equation

Laplace Transforms

Convolution,

Unit Step Functions,

Power Series,

Fourier Series,

Heat equation