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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.
Q. (a) Obtain a Thevenin equivalent circuit at terminals A-B in the circuit. (b) What impedance ¯ZL, when connected to A-B, produces maximum power in ¯ZL? (c) Find the val
Classify the magnetic materials into diamagnetic, paramagnetic, ferromagnetic and ferrimagnetic materials. Also give examples of each. Classification of magnetic materials:-
Q. A diode is connected in series with a voltage source of 5 V and a resistance of 1 k. The diode's saturation current is given to be 10 -12 A and the I-V curve is shown in Find
if load is removed so which motor will run fast? series or shunt?
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