设函数y=y(x)由方程xy+ln(x+e^2)+lny=0求y’(0) 答案是-(e^2+1/e)y^3-3y+2ax=0 确定y=(x),求y‘ y’‘

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设函数y=y(x)由方程xy+ln(x+e^2)+lny=0求y’(0) 答案是-(e^2+1/e)y^3-3y+2ax=0 确定y=(x),求y‘ y’‘

设函数y=y(x)由方程xy+ln(x+e^2)+lny=0求y’(0) 答案是-(e^2+1/e)y^3-3y+2ax=0 确定y=(x),求y‘ y’‘
设函数y=y(x)由方程xy+ln(x+e^2)+lny=0求y’(0) 答案是-(e^2+1/e)
y^3-3y+2ax=0 确定y=(x),求y‘ y’‘

设函数y=y(x)由方程xy+ln(x+e^2)+lny=0求y’(0) 答案是-(e^2+1/e)y^3-3y+2ax=0 确定y=(x),求y‘ y’‘
ln(x+e^2)?
xy+ln(x+e^2)+lny=0
x=0代入得
y=1/e^2
两端对x求导得
y+xy'+1/(x+e^2)+y'/y=0
把x=0代入得
1/e^2+1/e^2+y'*e^2=0
y'=-2/e^4