已知曲线积分(int )_(t)^yf(x)dx+((x)^2+y)dy与路径无关,则(int )_(t)^yf(x)dx+((x)^2+y)dy_____.已
设 y = y(x) 由参数方程 x = t - sin t,y = 1 - cos t 确定,则 (d^2 y)/(dx^2) = ( )设 $y = y(x
题型10.5 计算由参数方程所确定的函数的二阶导例10.5.1 2013-15 设函数y=y(x)由参数方程{}x=t-ln(1+t),y=t^3+t^2.)/
5.求下列参数方程所确定函数的导数 dfrac (dy)(dx)cdot -|||-(1) ) x=2t-(t)^2 y=3t-(t)^3 .
2.求微分方程 ((e)^x+y-(e)^x)dx+((e)^x+y+(e)^y)dy=0 的通解.-|||-
2.解微分方程:-|||-(4) dfrac (dy)(dx)=dfrac (y)(x+{y)^2};
设方程e^xy + y^2 = cos x确定y为x的函数,则(dy)/(dx) = ( )A. $\frac{ye^{xy} + \sin x}{xe^{xy
[问答题]x=ln( 1+t2) ,y=t-arctant.求dy/dx,d2y/dx2
2.作适当的变量变换求解下列方程:-|||-(1) dfrac (dy)(dx)=((x+y))^2 ;-|||-(2) dfrac (dy)(dx)=dfra
(4)已知 (x)=(int )_(1)^x(e)^-(t^2)dt, 则 (int )_(0)^1f(x)dx=