※ 引述《sweetdance (此ID停止使用)》之銘言:
: 請教第12 13題如何列出方程式
: http://i.imgur.com/iWLphg4.jpg
12.
y = f(x)
b = f(a)
y = f'(a)(x - a) + b
2ab^2 = -af'(a) + b
=> xy' = -2xy^2 + y
=> x(-1/y)' = -2x - (-1/y)
=> -x/y = -x^2 + c
=> y = x/[x^2 - c]
又1/2 = 1/[1 - c]
=> c = -1
=> y = x/[x^2 + 1]
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