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Differential EquationsInstructor: Rustam Sadykov Course: Differential Equations, M23
A
differential
equation is an equation
that defines a relationship
between a function and its derivatives.
These are essential for contemporary science as many
fundamental laws in the real
world are best described in terms of differential equations. In this
fast paced introductory course
we learn how to solve the simplest ones by elementary methods. The list
of topics includes
first order differential equations, linear equations, series solutions
of second order linear
equations, Laplace transform, nonlinear differential equations, and
partial differential equations
and Fourier series.
The
picture at the top of the page is linked (just click on it) to a video
by Losasso, F., Talton, J., Kwatra, N. and Fedkiw, R
at physbam.stanford.edu/~fedkiw/
where one can find a collection of impressive graphic solutions to
differential equations. See their paper
to get an idea how it is done.
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