ppts.net
当前位置:首页>>关于2x²yy′=y²+1 求通解 2y′+y=3,y丨x=0 =10...的资料>>

2x²yy′=y²+1 求通解 2y′+y=3,y丨x=0 =10...

2x²-2y²=3xy2x²-3xy-2y²=0(2x+y)(x-2y)=02x+y=0,得x=-y/2或者x-2y=0,得x=2y(x+2y)/(x-y)=(3y/2)/(-3y/2)=-1

解:方程两边同除以x(x>0),得 y'-(y/x)-√[(y/x)²-1]=0.............(1) 令y/x=u,则y=ux..............(2); 取导数得 y'=u'x+u.............(3); 将(2)(3)代入(1)式得: u'x+u-u-√(u²-1)=0 化简得 u'x-√(u²-1)=0 分离变量得 du...

网站首页 | 网站地图
All rights reserved Powered by www.ppts.net
copyright ©right 2010-2021。
内容来自网络,如有侵犯请联系客服。zhit325@qq.com