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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.
What is the desirable properties of an insulation material? Insulation materials have the desirable properties are as follows: 1. Very fine dielectric strength such as of mi
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Calculate the cross-sectional area, in mm 2 , of a piece of aluminium wire 100 m long and having a resistance of 2Ω. Take the resistivity of aluminium as 0.03 x 10-6 Ωm.
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