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1. Find the general solution y(t) of the ordinary dierential equation
where ω is a non-negative constant. (Consider the ω = 0 and ω > 0 cases separately).
2. Use Laplace transform to solve the following dierential equation for y(t):
given that y(0) = 0 and y'(0) = 2.3. Consider the following partial dierential equation for u(x; t)
(a) If is a function of t, derive two ODEs by separation of variables.
(b) If is a function of x, derive two ODEs by separation of variables.
To do the basic laboratory experiments related to the electrical engineering course, students need to have some basic understanding about the measuring tools, apparatus, components
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