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研究所、轉學考(插大)◆工程數學
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109年 - 台大_電機資訊學院_工程數學(C)#110409
> 試題詳解
8. (5%) Which are the possible solutions of the given system?
(A)
(B)
(C)
(D)
答案：
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統計：
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其他試題
4. (5%) Consider the equationwith the boundary conditions y(0)=0,y(π)=π.Which dr dx statements are correct? (A) The particular solution is (B) The general solution is (C) There is a unique solution to this boundary-value problem. (D) This differential equation is homogencous. (E) None of the above.
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複選題5. (5%) Which are the possible solutions of the differential equation ? (A) y+ln|y-1|=x (B) 2y+1nly-1|=4x (C) 2y+1n|2y-1|=4x+4 (D) y2=2x (E) y2=-2x+1
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6. (5%) Assume, Which statements are always true? (A) C0=0 (B) C1=0 (C)C2 =0 (D)(E)
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複選題7. (5%) Consider the equation with the inial condition y(0) =1. Which statemenas about the function y(t) and its Laplace transform Y(s) are correct? (A) (B) (C) y(t)=sint-tsint (D) y(π)=0 (E) y(π)=-1
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複選題9. (5%) Consider the wave equation with initial conditions Which are the possible solutions? (A)u(x,r)=f(x-at) (B) u(x,t)=f(x+at) (C)(D) (E) None of the above
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10.Ealuate the Fourier transfom (A) (B) (C) (D)(E)
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11. (5%) Find an equation involving g, h, and k that makes this augmented matrix correspond to a consistent system:(A) 2k+g+h -0 (B) k+2g+3h =0 (C) k+2g+h = 0 (D) 3k+g+2h = 0
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12.(5%) Let a1=. For what value(s) ofh is b in the plane spanned by a1 and a2? (A) 0 (B) -10 (C) 16 (E) 20 (D) -17
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13. (5%) Determine the rank of the matrix in the following. (A)0 (B) 1 (C)2 (D)3 (E) 4
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14. (5%) Matrix A can be written in the form A=LU, where L is m x m lower triangular matrix I's on the diagonal and U is an m x n echelon form of A. Such a factorization is called an LU factorization. Please find the L matrix for LU factorization of the following matrix A. (A)(B)(C)(D)(E)
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