已知=(e)^tsin t-|||-=(e)^tcos t ,求当 =dfrac (pi )(3) 时 dfrac (dy)(dx) 的值

例3.2.10 设 () =(e)^(x^2), 求 dfrac (dy)(dx).

[题目]-|||-求微分方程 dfrac (dy)(dx)=(e)^dfrac (y{x)}+dfrac (y)(x) 的通解.

1-4 已知质点的运动方程-|||-=sqrt (3)cos dfrac (pi )(4)t, =sin dfrac (pi )(4)t-|||-(式中,x、y

求微分方程dfrac (dy)(dx)+y=(e)^-x的通解.求微分方程的通解.

πm·s^(-1))=dfrac (dy)(dt)=Rtdfrac (2pi )(T)cos dfrac (2pi )(T)ti+ndfrac (2pi )(T

2.求由参数表达式 =(int )_(0)^tsin udu, =(int )_(0)^tcos udu 所确定的函数对x的导数 dfrac (dy)(dx).

dfrac (d)(dx)(int )_(x)^-1t(e)^-tdt= __

当theta =dfrac (pi )(3)时，theta =dfrac (pi )(3)______，theta =dfrac (pi )(3)______，

当 theta =dfrac (pi )(3) 时，theta =dfrac (pi )(3)________ ，theta =dfrac (pi )(3)__

2.求曲线 =tsin t, =tcos t =t(e)^t 在原点的密切平面、法平面、从切平面、切线、主法线、副法线-|||-方程.