已知y=y(x)求dy/dx

已知y=x^(1/y),求dy/dx?已知y=x^(1/y),求dy/dx?已知y=x^(1/y),求dy/dx?y=x^(1/y),两边取对数,得lny=lnx/yylny=lnx两边同时求导,得y

已知x=y^2-4y,求dy/dx已知x=y^2-4y,求dy/dx已知x=y^2-4y,求dy/dx76900÷2400=769÷24=720÷24+49÷24=30+2+1÷24=32又24分之1

已知y=x∧x,求dy/dx已知y=x∧x,求dy/dx已知y=x∧x,求dy/dx(lnx+1)*x∧x2X

已知dy/dx=xe^x求y的通解已知dy/dx=xe^x求y的通解已知dy/dx=xe^x求y的通解y=（x-1）e^x+C∫dx=∫xe^xy=xe^x-∫e^xdx+cy=xe^x-e^x+cy

已知y=x^cosx/2,求dy/dx,已知y=x^cosx/2,求dy/dx,已知y=x^cosx/2,求dy/dx,y=x^cosx/2两边取以e的对数得lny=lnx^cosx/2=cosx/2

(dy/dx)-y=x求微分方程(dy/dx)-y=x求微分方程(dy/dx)-y=x求微分方程这个很简单xdy/dx+1=e^yxdy/dx+1=e^y-1dy/(e^y-1)=dx/x令e^y-1

y=(sinx)^x求DY/DXy=(sinx)^x求DY/DXy=(sinx)^x求DY/DX知道“对数求导法”吗?可以取对数再求导数.或者下面的方法,用到复合函数求导：y=(sinx)^x=e^【

y=x+lnx,求dx/dyy=x+lnx,求dx/dyy=x+lnx,求dx/dy求dx/dy,这说x是y的函数,两边对y求导1＝dx/dy　+(1/x)*dx/dy解得dx/dy＝x/(x+1)

求dy/dx=-x/y求dy/dx=-x/y求dy/dx=-x/ydy/dx=-x/yydy=-xdx两边同时积分,0.5*y^2=-0.5*x^2+C1（C1是常数项）y^2=-x^2+C（C是常数

已知x^y-y^x=2确定函数y=fx,求dy/dx已知x^y-y^x=2确定函数y=fx,求dy/dx已知x^y-y^x=2确定函数y=fx,求dy/dxx^y-y^x=2u=x^ylnu=ylnx

已知dx/dy=1/y’求d²x/dy²已知dx/dy=1/y’求d²x/dy²已知dx/dy=1/y’求d²x/dy²d²x/d

dy/dx=-x/y求通解如题.dy/dx=-x/y求通解dy/dx=-x/y求通解如题.dy/dx=-x/y求通解dy/dx=-x/y求通解如题.dy/dx=-x/y求通解dy/dx=-x/yydy

dy/dx=x+ydy/dx=x+ydy/dx=x+y线性一阶微分方程,公式解:利用积分因子法,可得到积分因子为：e^(-x)结果为：y=C*e^x-(x+1)C为任意常数

(x+y)dy+(x-y)dx=0求通解(x+y)dy+(x-y)dx=0求通解(x+y)dy+(x-y)dx=0求通解∵(x+y)dy+(x-y)dx=0==>(1+y/x)dy+(1-y/x)dx

设x/y=ln(y/x),求dy/dx设x/y=ln(y/x),求dy/dx设x/y=ln(y/x),求dy/dxx/y=ln(y/x)x(-1/y^2)y''+1/y=x/y(-y/x^2+y''/x)

dy/dx=(x+y)/(x-y)求通解dy/dx=(x+y)/(x-y)求通解dy/dx=(x+y)/(x-y)求通解

x^y-y^x=2,求dy/dxx^y-y^x=2,求dy/dxx^y-y^x=2,求dy/dx令x^y＝u,则：ylnx＝lnu,∴lnxdy/dx＋y/x＝（1/u）du/dx,∴u（lnxdy/

求dy/dx=(x-y+5)/(x+y-2)求dy/dx=(x-y+5)/(x+y-2)求dy/dx=(x-y+5)/(x+y-2)dy/dx=(x-y+5)/(x+y-2)=[(x+3/2)-(y-

求微分方程x*dy/dx=y*ln(y/x).求微分方程x*dy/dx=y*ln(y/x).求微分方程x*dy/dx=y*ln(y/x).y=xe^(Cx+1),C为任意常数详细过程点下图查看

已知y=x的x次方的x次方,求dy/dx已知y=x^x^x求dy/dx?已知y=x的x次方的x次方,求dy/dx已知y=x^x^x求dy/dx?已知y=x的x次方的x次方,求dy/dx已知y=x^x^