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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.
Q. Digital watches display time by turning on a certain combination of the seven-segment display device. (a) Show a typical seven-segment display. (b) Develop a truth table f
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Find the current flow through resistor 12 Ω using Thevenin's Theorem.
Evaluate currents in the circuits: Determine currents I 1 and I 2 in the given circuits by applying KVL. Solution We apply KVL for first loop : 10 = 1 I 1 + 1 (
if load is removed so which motor will run fast? series or shunt?
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