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研究所、轉學考(插大)◆工程數學
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110年 - 110 國立成功大學碩士班招生考試_電機聯招:工程數學#103782
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1. Please solve the differential equation (20%)
(x
2
+2xy-y
2
)dx+(y
2
+2xy-x
2
)dy
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2. Solve the following differential equation with zero initial condition. (20%) t2y"(t)-2ty'(t)+2y(t)= cos(2ln(t)), t＞0
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3. Solve the following differential equation (10%) xy" -4y' = x
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4. Find the value of by solving the initial value problem for the given system of differential equations, where H(t-a) is unit step function or Heaviside function. Show the details. (20%)
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5. Let vector field F=-yi+xyj-xyzk. Evaluate the value of , where Σ is the part of the cone . Showthedctails. (20%)
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6.Evalbluate(10%)
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1. 樣本均數、樣本比例與兩樣本均數差的抽樣分配近似常態的理由為何？(20%)
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