dy dx=x^2 y^2解-搜答案-搜搜考试网

两式相加3（x+y）-3(x-y)=46y=4xy=2/32x+2y-x+y=3x+3y=3x=3-3y=3-2=1

方程两边求关x的导数ddx(xy)＝(y+xdydx)； ddxex+y＝ex+y(1+dydx)；所以有（y+xdy

(x+y)(x-y)-(x+y)=0(x+y)(x-y-1)=0若x-y-1=0y=x-1则4x^2-x^2+2x-1+2x-x+1=03x^2-3x=03x(x-1)=0x=0,x=1y=x-1若x

e^x(y''+y')=x^2e^x(y'e^x)'=x^2e^x两边积分：y'e^x=∫x^2e^xdx=x^2e^x-∫e^x*2xdx=x^2e^x-2xe^x+2∫e^xdx=x^2e^x-2

x+y/3+x-y/2=63(x+y)-2(x-y)=282x+2y+3x-3y=363x+3y-2x+2y=285x-y=36x+5y=285x-y=365x+25y=14026y=104y=4x=

y'-2y=(e^x)-x

首先求齐次方程通y'-2y=0特征方程：x-2=0x=2为特征根∴y=Ce^(2x)设方程的一个特解为y=Ae^x+ax+b代入方程：Ae^x+a-2Ae^x-2ax-2b=-Ae^x-2ax+a-2

方程两边对x求导得2x+y′x2+y＝3x2y+x3y′+cosxy′＝2x−(x2+y)(3x2y+cosx)x5+x3y−1由原方程知，x=0时y=1，代入上式得y′|x＝0＝dydx|x＝0＝1

5x+y=369y-x=2即45y-10+y=36y=1x=7

X+Y分之X-Y等于3x=-2yX+Y分之2(x-y)减X+Y分之3X+Y=(-x-3y)/(x+y)=1

.死算呗xy-2x+3y-6=xy+10x-3y-30,2x-y=4xy+3x+y+3=xy+12x-2y-24,3x-y=92式减1式,x=5,y=6

因为(x-y)/(x+y)=3,则(x＋y)/(x－y)＝1/3则5(x-y)(x+y)-(x+y)/2(x-y)＝5*3-1/(3*2)=15-1/6=89/6

化简x+y=105x+7y=625x+5y+2y=622y=62-50y=6x=4

先一个一个的展开括号项,再同项合并就行了啊[x(x-y)-y(x-y)+(x+y)(x-y)]÷2x=[xx-xy-(xy-yy)+x(x-y)+y(x-y)]÷2x=[xx-xy-xy+yy+xx-

(x+y)/2+(x-y)/3=6①5(x+y)-2(x-y)=4②由①得3x+3y+2x-2y=365x+y=36y=36-5x③由②得5x+5y-2x+2y=43x+7y=4④③代入④得3x+25

这是一阶线性微分方程，其中P（x）=1，Q（x）=e-x∴通解y＝e−∫dx(∫e−x•e∫dxdx+C)＝e−x(∫e−x•exdx+C)＝e−x(x+C)．

y'+2y/x=x通解

dydx要是等式才行吧.如果是的话,这句话就是求这个等式的根,用r表示x.

2x+y=2(1)-x+y=5(2)3x=-3x=-1y=4

展开x^2-2y^2-xy=-5x^2-2y^2+xy=7所以x^2-2y^2=1xy=6上式除以下式,解分式方程x/y=3/2或-4/3(舍去)所以x^2=9y^2=4x=3y=2或x=-3y=-2

在方程ex+y+cos（xy）=0左右两边同时对x求导，得：ex+y（1+y′）-sin（xy）•（y+xy′）=0，化简求得：y′＝dydx＝ysin(xy)−ex+yex+y−xsin(xy)．