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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.
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#question.classification of conducting material.
Q. (a) The concept of duality can be extended to nonelectric physical systems bymeans of analogs. For example, the mechanical system characteristics can be investigated by means
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