
#1
December 28th, 2019,
10:54
Problem: Find a (limited?) solution to the diff eq.
At the end of the solution, when you transform $ \displaystyle \frac{1}{s+1} + \frac{2}{s3}$
why doesnt it become $ \displaystyle e^{t} + 2e^{3t} $, t>0 ?

December 28th, 2019 10:54
# ADS
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#2
January 2nd, 2020,
08:19
That would be correct if the right hand side of the equation were 0. But the delta functions on the right mean that those are correct only for x greater than certain values so the step functions are needed.

#3
January 8th, 2020,
12:46
Thread Author
What values are those and how are the step functions used?

#4
February 15th, 2020,
08:06
Do you know what "$ \displaystyle \delta(x)$" and "$ \displaystyle \delta'(x)$" mean?