Laplace transform, Electrical Engineering

1. Find the general solution y(t) of the ordinary di erential equation

646_Laplace transform.png

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):

2224_Laplace transform1.png

given that y(0) = 0 and y'(0) = 2.
3. Consider the following partial di erential equation for u(x; t)

560_Laplace transform2.png

(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.

Posted Date: 3/1/2013 1:59:58 AM | Location : United States







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