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研究所、轉學考(插大)◆工程數學
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110年 - 110 國立中山大學_碩士暨碩士專班招生考試_海下所:工程數學#104424
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4.Solve
+y=x, y(0)=3.(10%)
其他申論題
1. Evaluatefor any a ＞ 0. (5%)
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(1) Let u1 = ＜3, 1＞, u2= ＜1, 1＞. Transform them into an orthonormal basis. (5%)
#442072
(2) Let u1 = ＜1, 1, 1＞, u2 = ＜1, 2, 2＞, u3 = ＜1, 1, 0＞ . Transform them into an orthonormal basis. (5%)
#442073
3.Let . Find a symmetric matrix B and a skew-symmetric matrix C, such that B+C=4. 1 0] (5%)
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(1) Find L{sin(2t)}. (5%) (Write down the detailed process)
#442076
(2) Solve +3y= 13sin(2t), y(0)=6.(15%)
#442077
6.Please write down the Bessel's differential equation. (7%)
#442078
7. Find y when y"x2 + (x2 -81)y = -xy'.(10%)
#442079
8.Find the eigenfunction of the following equation: y"+ ky =0, y(0)-y(L)-0.(15%)
#442080
9. Find the Fourier series in complex form for the periodic function f(t) with period 2, .(18%)
#442081
+y=x, y(0)=3.(10%)
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+y=x, y(0)=3.(10%)