Recent content by domesticbark

Well I feel silly now. Thanks.

Homework Statement y'' +λy=0 y(1)+y'(1)=0 Show that y=Acos(αx)+Bsin(αx) satisfies the endpoint conditions if and only if B=0 and α is a positive root of the equation tan(z)=1/z. These roots (a_{n})^{∞}_{1} are the abscissas of the points of intersection of the curves y=tan(x) and...

Homework Statement 2xy'+y^3e^(-2x)=2xy Homework Equations dy/dx + P(x)y=Q(x)y^n v=y^(1-n) The Attempt at a Solution dy/dx-y=-y^3e^(-2x)/2x P(x)=-1 Q(x)=-e^(-2x)/2x n=3 v=1/y^2 dy/dx=dy/dv*dv/dx dy/dx=-1/2v^-(3/2)*dv/dx...

Homework Statement dy/dx = 1/(x+y) Homework Equations Errr. None that I know of. The Attempt at a Solution v=x+y dy/dx=1/v dv/dx=1+dy/dx dv/dx=1+1/v dv/dx=(v+1)/v dv*v/(v+1)=dx v+1/(v+1) - 1/(v+1) = v/(v+1) \int 1\,dv - \int...

So what you guys are saying is I can sub other things in for u? If \chi-2/3= U, can I really just make U = tan\Theta? I'm just a little confused since I'm semi new to calculus. And that makes things a little more complicated. how would I get d\Theta to replace du? Ahh I am confused. Either way...

anti derive sqrt{1 + x^(-2/3)} So this isn't actually a homework problem... just a problem that's been bugging me. Supposedly it's possible to do this using u substitution, but I'm having quite a bit of trouble... I've tried making U = x^(-2/3) and I realize that's probably not the best...