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1. Find the general solution y(t) of the ordinary di erential 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 di erential equation for y(t):
given that y(0) = 0 and y'(0) = 2.3. Consider the following partial di erential 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.
a cast steel has minimun diameter of 200 mm and a cross sectional area of 250/1000000 m . calclate the mmf to produce a flux of300/1000000 Wb.
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Q. If an antenna has an available noise power of 1.6 × 10 -15 W in a 1-MHz bandwidth, find the antenna temperature.
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sample problem and solutions with answer
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