百度作业网微积分 求方程式Find the equation of the curve passing through the p
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微积分 求方程式
Find the equation of the curve passing through the point (1,1/12) such that at all points on the curve y=f(x) with [(5-3x)^2]dy/dx=1
找出曲线方程,通过点(1,1/12) 并且[(5-3x)^2]dy/dx=1
Find the equation of the curve passing through the point (1,1/12) such that at all points on the curve y=f(x) with [(5-3x)^2]dy/dx=1
找出曲线方程,通过点(1,1/12) 并且[(5-3x)^2]dy/dx=1
先求积分,
[(5-3x)^2]dy/dx=1
所以dy=d（-3x）/[(5-3x)^2]*（-1/3）
解得y=1/（15-9x）+C；
代入（1,1/12）可解得C=-1/12；
所以曲线方程y=1/（15-9x）-1/12
[(5-3x)^2]dy/dx=1
所以dy=d（-3x）/[(5-3x)^2]*（-1/3）
解得y=1/（15-9x）+C；
代入（1,1/12）可解得C=-1/12；
所以曲线方程y=1/（15-9x）-1/12
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