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研究所、轉學考(插大)◆工程數學
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110年 - 成大_資訊聯招_工程數學#105389
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題組內容
1. (20%) Solve the given differential equation.
(b)
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1. 面對內容海盜行為猖獗，企業如何透過在管理、組織、以及科技等三個構面 降低智財權的損失，請試著以數位內容服務供應商的角度來回答？(20%)
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(a)
#447615
2. (10%) Find the value of m, so that the given differential equation is exact. (6xy3+cosy)dx+(2mx2y2-xsiny)dy=0
#447617
3. (10%) In the following terms, which does not exist the Laplace transform?
#447618
4. (10%) Given the Laplace transform of Bessel function Please derive the Laplace transform of Bessel function J0(3t).
#447619
5. (10%) Please find the indicial equation of the following differential equation. y"+p(x)y'+q(x)y=0, x = 0 is a regular sigular point. where xp(x) = A0 + A1x+A2x2+... x2g(x)= B0 +B1x+B2x2+...
#447620
6. (10%) Find the serial solutions at x=0 for the following differential equation. x(x-1)y"+(3x-l)y'+y=0
#447621
7. (10%) For Legendre's different equation (1-x2)y"-2xy'+λy =0 in which -1≤x≤1, and 2 is a real constant, please find the serial solutions at x=0 and explain how to get the Legendre's polynomials.
#447622
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