題目 Problem 甲、填充題:共 8 題,每題 8 分,共 64 分。請在答案卷上列出題號依序作答。 Consider a differential equation dydt=kv(10−y)\dfrac{dy}{dt}=\dfrac{k}{v}(10-y)dtdy=vk(10−y), y(0)=y0y(0)=y_0y(0)=y0, where kkk, vvv and y0y_0y0 are positive constants with y<10y<10y<10. Find limt→∞y\lim_{t\to\infty} ylimt→∞y. Answer : \underline{\quad(1)\quad} 解答