求方程dy/dx=(1+y^2)/(xy+yx^3)的解.
求方程dy/dx=(1+y^2)/(xy+yx^3)的解.
数学人气：724 ℃时间：2019-10-25 11:17:37
优质解答
dy/dx=(1+y^2)/[xy(1+x^2)]y/(1+y^2)dy=dx/[x(1+x^2)]2y/(1+y^2)dy=2xdx[x^2(1+x^2)]d(y^2)/(1+y^2)=d(x^2)[1/x^2-1/(1+x^2)]ln(1+y^2)=ln(x^2)-ln(1+x^2)+C11+y^2=Cx^2/(1+x^2)
我来回答
类似推荐
猜你喜欢
- 1The old man died __(on/in/at/from)a cold winter morning
- 2如何检验纯碱溶液中混有小苏打?
- 3无疑,这将是一件非常令人兴奋的事情用英语怎么说啊
- 4where are还是is lucy and lily
- 5电路中,电阻R1的阻值为10Ω,闭合开关S,电流表A1的示数为2A.电流表A2的示数为0.8A,则电阻R2的阻值为多
- 6某元素的氧化物的化学式为M2O3(M只有一种化合价),则下列化学式错误的是
- 71.the boy often r____ to school 2.h_____ of my classmates want to take a school trip
- 8Mary often goes to visit her grandparents on weekends 怎么用last saturday改
- 9如何用三角形的面积求反比例函数图像中的“K”值
- 109个连续的自然数，它们都大于80，那么其中质数至多有_个．