# HW2 - (a 12 p 5(b 1 p 3 p 5 Solve the diﬀerential...

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Math 135, HW 2 Due Wednesday, January 21st 1. Show that L [cos ax ] = p p 2 + a 2 , p > 0 by integrating. 2. Show that L [cosh ax ] = p p 2 - a 2 , p > | a | without integrating. 3. Find L [sin 2 ax ] without integrating. 4. Find a function whose Laplace transform is:
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Unformatted text preview: (a) 12 p 5 (b) 1 p 3 + p 5. Solve the diﬀerential equation y 00-4 y + 4 y = x,y (0) = 0 ,y (0) = 1 using Laplace transforms. 6. Section 51, Problem 4 1...
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