(y²-3x²)dy-2xydx=0,(y|x=0)=1求特解,后面是当x=0时 ,y=1

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/24 13:34:32
(y²-3x²)dy-2xydx=0,(y|x=0)=1求特解,后面是当x=0时,y=1(y²-3x²)dy-2xydx=0,(y|x=0)=1求特解,后面是当

(y²-3x²)dy-2xydx=0,(y|x=0)=1求特解,后面是当x=0时 ,y=1
(y²-3x²)dy-2xydx=0,(y|x=0)=1
求特解,后面是当x=0时 ,y=1

(y²-3x²)dy-2xydx=0,(y|x=0)=1求特解,后面是当x=0时 ,y=1
设x/y=u,dx/dy=u+yu' (y²-3x²)dy-2xydx=0 (2u)du/(1-5u²)=dy/y 5dln│y│ +dln│5u²-1│=0 5x^2y^3-y^5=c c=-1