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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.
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Q. A current of 65 A is measured with an analog ammeter having a probable error of ± 0.5% of full scale of 100 A. Find the maximum probable percentage error in the measurement.
A 3 phase 60 hertz induction motor has 8 poles and operates with a slip of .05 for a certain load. Compute in r.p.m. the (a) Speed of the rotor with respect to the stator, (b
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Some wire of cross-sectional area 1mm 2 has a resistance of 20Ω. Determine: a) The resistance of a wire of the same length and material if the cross-sectional area is 4 mm 2 .
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Figure shows the cross-section of an electrostatic problem with translational symmetry: a rectangular coaxial cable. The inner conductor is held at 10 volts and the outer conductor
Frequency variation in simple transmitters can be reduced by adding a _______ stage.
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