2y-x=(x-y)ln (x-y) 2dy-dx=(dx-dy)ln (x-y)+(x-y)* 1(x-y)(dx-dy) 2dy-dx=(dx-dy)ln (x-y)+dx-dy [3+ln (x-y)]dy=[2+ln (x-y)]dx (x-y)[3+ln (x-y)]dy=(x-y)[2+ln (x-y)]dx [3(x-y)+(x-y)ln (x-y)]dy=[2(x-y)+(x-y)ln (x-y...
第一题,这是个隐函数,两边对x求导得:2y'-1=(1-y')*ln(x-y)+(x-y)*(1-y')/(x-y)=(1-y')*ln(x-y)+(1-y')所以[3+ln(x-y)]y'=ln(x-y)+2y'=[ln(x-y)+2]/[ln(x-y)+3]所以dy=[ln(x-y)+2]dx/[ln(x-y)+3]第二题,令g(x)=f(x)-... 结果...
求微分 方程y-2x=(x-y)ln(x-y) 求dy/ dx 和d^2y/ dx^2 解:因为y=y(x),所以y是x的函数!这道题考虑的主要是隐函数求导的问题.因为:y-2x=(x-y)ln(x-y)所以,将上式两边关于x求导后得:→ y'-2=(1-y')ln(x-y)+(x-y)[1/(x-y)](1-y')→ y'-2=ln(x-y)-y'ln(x-y)+(...
看这个微分怎么求:x^2*dy+(y-2xy-x^2)*dx=0是不是题错了? -2/x)dx=0 ==>ln|y|-1/x-2ln|x|=ln|C| (C是积分常数) ==>ln|y|=ln|Cx²|+1/x ==>y=Cx²e^(1/x) ∴设原方程的通解为y=C(x)x²e^(1/x) (C(x)是关于x的函数) ... 履带式抛丸机哪家好_抛丸清理机_清...
因为2y-x=(x-y)ln(x-y),所以,[3(x-y)+(2y-x)]dy=[2(x-y)+(2y-x)]dx(2x-y)dy=xdx①若2x-y=0,则dy=2dx② 若2x−y≠0,则dy= x 2x−ydx; 直接求微分,然后移项即可. 本题考点:复合函数微分法则. 考点点评:本题考查函数微分的求解.需要①注意变量的关系;②全部求微分后要进行化简....
方程两边对x求导有(注意y是x的函数),2y-1=(1-y)n(x-y)+(x-y)1(1-y),整理得2+ln(x一y) 3+In(x-y),所以dy= 2+In(x-y)dr. 3+n(x一y)注:本题还可用一阶微分的形式不变性解为2dy-dx=(dx-dy)ln(x-y)+(x-y)·1(dr-dy) x-y,所以[3+ln(x-y)]dy=[2+ln(x-y)]dx...
题目4. 求方程 2y-x=(x-y)In(x-y)所确定的函数 y=y(x) 的微分dy.5.求由方程 cos(xy)=x2y2所确定的函数y的微分. 相关知识点: 试题来源: 解析 4. (2+ln(x-y))/(3+ln(x-y))dx . 3+ln(x-y) 5.-y/xdx . 反馈 收藏
答案:解 对方程两边求微分, 结合题中所给方程,可得 你可能感兴趣的试题 答案:[解] 由 得 ,故 . 问答题 设y=y(x)由x2y2+y=1(y>0)确定,求函数y=y(x)的极值. 答案:[解] x2y2+y=1两边关于x求导得 2xy... 点击查看完整答案手机看题 ...
求2y-x=(x-y)ln(x-y)确定的函数y=y(x)的微分dy. 答案:正确答案:2y-x=(x-y)ln(x-y)关于x求导得 点击查看答案手机看题 问答题 设由sinxy+ln(y-x)=x确定函数y=y(x),求y"(0). 答案:正确答案:x=0时,y=1, sinxy+ln(y-x)=x两边对x求导得 ...
2y-x=(x+y)ln(x-y)两边微分可得：2y'-1=(1+y')ln(x-y)+(x+y)【（1-y')/(x-y)】之后就是化简了,将y’放在一边,其余的放在另一边.