Recent content by aatkins09

Thanks so much :)

nvm, I still can't get it. it's okay though, thank you, I appreciate all of your help!

I did it (in my head, not on paper yet) and I'm pretty sure I've got it! thank you so much, I appreciate all of your help!

A new technology is introduced into a community of 5000 individuals. If the rate dN/dx at which the technology spreads through the community is JOINTLY PROPORTIONAL to the number of people who use the technology AND the number of people who do not use it, (1)WRITE A DIFFERENTIAL EQUATION FOR...

du/dx would be 2x+2y but I don't understand where to go from there. how can I replace dy/dx with it?

I got int(y dy)=int(-x+sqrt(u))dx which turned into y^2/2=(1/-2+2y)*int(sqrt(u) du) which equals -1/2+2y*2/3u^3/2 which then gets down to y^2/2=(-u^(3/2))/3-3y and then it gets uglier when I try to get y by itself I know I am messing up somewhere but cannot pin point it

dy/dx=(-x+sqrt(x^2+y^2))/y USE SUBSTITUTION u=x^2+y^2 I tried to work it out but got a really ugly answer, please help!