Can someone please help me with this ODE, its for my exam tmoz and im losing it
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > Can someone please help me with this ODE, its for my exam tmoz and im losing it

Can someone please help me with this ODE, its for my exam tmoz and im losing it

[From: ] [author: ] [Date: 11-06-06] [Hit: ]
............
consider the differential equation

x^2 (dy/dx)= x^3+3(x^2)y+x(y^2)......................…

make the substitution u=y/x

to reduce it to

x(du/dx) = 1+2u+u^2................................…

solve equation 2 for u(x) and hence write down the solution y(x) for equation 1

The answer is

y= -x - [x / (logx + c)]

I got no idea how that is can someone please show the working out

Thankyou so so much

-
I'm almost positive you made a mistake copying this. The substitution doesn't work at all,and the solution to the DE you have there is this ridiculous mess that no one should ever see. However, if that IS the correct DE, then disregard it, because it's nigh unsolvable.

-
Huang lee
1
keywords: exam,me,and,this,please,someone,for,Can,ODE,my,tmoz,it,help,with,losing,its,im,Can someone please help me with this ODE, its for my exam tmoz and im losing it
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .