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研究所、轉學考(插大)-常微分方程
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110年 - 110 國立臺灣大學_碩士班招生考試_數學研究所:常微分方程#100326
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題組內容
1.
(a) (10 points) Calculate
, where I is the two by two identity matrix.
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三、試論姜夔之詞作特色。
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四、試論明代公安派的文學特色。
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(b) (10 points) Solve the differential systemwith initial condition X(0) = (1,0)T.
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2. (20 points) Solve the differential equation with initial condition x(0) =x'(0) = 0, x"(0) = 1.
#419837
3. (20 points) Solve the differential equationwith initial condition x(0) = 0.
#419838
(a) (10 points) Find the value of Φ(π).
#419839
(b) (10 points) Let X(t) be any other solution of (0.4). Show that
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5. (20 points) Solve the differential equation
#419841
, where I is the two by two identity matrix.
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, where I is the two by two identity matrix.