2y-x=(x+y)ln(x-y)
兩邊微分可得:
2y'-1=(1+y')ln(x-y)+(x+y)【(1-y')/(x-y)】
之后就是化簡(jiǎn)了,將y’放在一邊,其余的放在另一邊.求解完整步驟,2y-x=(x+y)ln(x-y)兩邊微分可得:2y'-1=(1+y')ln(x-y)+(x+y)【(1-y')/(x-y)】解得:dy=【(x-y)ln(x-y)+(x-y)】/【(3x-y)-(x-y)ln(x-y)】dx
求由方程 2y-x=(x+y)ln(x-y)所確定的函數(shù)y=y(x)的微分dy
求由方程 2y-x=(x+y)ln(x-y)所確定的函數(shù)y=y(x)的微分dy
數(shù)學(xué)人氣:842 ℃時(shí)間:2019-08-19 14:10:53
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