2.求下列齐次方程满足所给初值条件的特解:-|||-(2) '=dfrac (x)(y)+dfrac (y)(x) (|)_(x=1)=2 ;

2.求下列齐次方程满足所给初值条件的特解:-|||-(1) ((y)^2-3(x)^2)dy+2xydx=0 |x=0=1;-|||-(2) =dfrac (x

2.求下列齐次方程满足所给初值条件的特解：(1)(y^2-3x^2)dy+2xydx=0,y|_(x=0)=1；2.求下列齐次方程满足所给初值条件的特解：$(1

2.求微分方程 =dfrac (y)(x)+tan dfrac (y)(x), 满足 |,x|=dfrac (pi )(6) 的特解.

2.求下列微分方程满足所给初值条件的特解:-|||-(1) =(e)^2x-y, (|)_(x=0)=0;

2.求下列各微分方程满足所给初值条件的特解:-|||-(2) -a(y)^2=0 (|)_(x=0)=0, (|)_(x=0)=-1;

1.求下列齐次方程的通解:-|||-(1) -y-sqrt ({y)^2-(x)^2}=0;-|||-(2) dfrac (dy)(dx)=ycdot dfra

1.求下列齐次方程的通解:-|||-(1) -y-sqrt ({y)^2-(x)^2}=0;-|||-(2) dfrac (dy)(dx)=yln dfrac

1.求下列齐次方程的通解:-|||-(1) -y-sqrt ({y)^2-(x)^2}=0;-|||-(2) dfrac (dy)(dx)=yln dfrac

2.求下列各微分方程满足已给初值条件的特解:-|||-(1) +y+sin 2x=0 (|)_(x=pi )=1,y(|)_(x=pi )=1;-|||-(2)

2.求下列各微分方程满足所给初值条件的特解:-|||-(4) ^n=(e)^2y, (|)_(x)=0=y|x=0=0;