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研究所、轉學考(插大)◆工程數學
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92年 - 92 淡江大學 轉學考 工程數學#56174
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4. Solve the following system of equations by the method of undetermined coefficients;
y
1
= y
2
+ 5e
2t
y
2
= y
1
- 2e
2t
, y
1
(0)=11, y
2
(0)=0
其他申論題
1. Find the integration factor and solve the equation:(3cosy - 4x2) dx = 5x siny dy
#213582
(a) y" +4y' +6y = x2 +cos x , y(0)=0, y'(0)=0
#213583
(b) y" +10y' +25y =e-5x , y(0)=1, y'(0)=0
#213584
3. Use the "Laplace Transform" to solve the initial value problems:y" +10y' +25y =e-5x +2 , y(0)=1, y'(0)=0
#213585
John Berger在Ways of Seeing 一書第七篇討論廣告與影像時,提到: • ••廣告關注的是人際關係,而不是物品。它許諾的並非享樂,而是快樂──由外界判斷的快樂。這種被人羡慕的快樂就是魅力。被人羡慕是自信的一種方式,靠的正是不同你的羡慕者共享你的經驗。別人饒有興趣地觀察你,而你卻冷眼看世界── 假若你也帶點興趣,人們對你的興趣就會降低。在這方面,被羡慕者好比官僚:他們越不具感情色彩,在官僚自己和旁人的眼中,權勢的幻覺就越強烈。魅力的力量寄寓於設想的快樂,官僚的力量,寄寓於設想中的權力。這解釋了那許多充滿魅力的影像茫然而散漫的調子。他們的眼光凌駕於羡慕者的眼光。(戴行鉞譯,商務,頁158-159) 請就這段話加以闡釋,並舉兩則電視廣吿爲例說明。
#213592
1. A particle of mass m has velocity v = a/x , where x is its displacement. Fin4 the force F(x) responsible, 25%
#213593
2, For a system of particles, prove that its total angular momentum about an origin is the sum of the angular momentum of the center of mass about that origin and the angular momentum of the system about the position of the center of mass . 25%
#213594
3, Calculate the inertia tensor of a homogeneous cube of density p ,mass M,and side of length b. Let one comer be at the origin,and let three adjacent edges lie along the coordinate axes, 25%
#213595
【已刪除】4. Two identical harmonic oscillators (with masses M and natural frequencies ) are coupled such that by adding to the system a mass m common to both oscillators the equations of motion become Solve this pair of coupled equations, and obtain the frequencies of the normal modes of the system.
#213596
【已刪除】一、
#213597