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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.
Consider the common-emitter BJT circuit shown in Figure (a). The static characteristics of the npn silicon BJT are given in Figure (b) along with the load line. Calculate iB for v
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A forward converter has the following parameters: input source voltage V s = 100 V, N 1 /N 2 = N 1 /N 3 = 1, magnetizing inductance L m = 5 mH, output inductor L o = 200 μH, C
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