Recent content by Asphyxiated

ah, ok, that makes it much clearer, I see where i was misinterpreting what was actually being stated. Thanks both you!

Homework Statement This problem is from a first order differential equation i have been playing with but the question does really have anything to do with the problem itself. I can solve it just fine, I just can't resolve the final integral. I will write what I am talking about in section 3...

ha, ok... for some reason I always do that when I haven't dealt with radius vs diameter in awhile, sometimes I need the obvious pointed out :) thanks vela edit: so then its 12... if i take the top and bottom its 16! thanks again

Homework Statement Use differentials to estimate the amount of tin in a closed tin can with diameter 8cm and height 12cm if the tin is 0.04cm thick. Homework Equations If: z=f(x,y) then dz = f_{x}(x,y)dx+f_{y}(x,y)dy The Attempt at a Solution Perhaps my problem here...

oh haha alright. I guess I was confused by the substitution of y'=u again for some reason. Thanks for the reminder on that! So I assume this is a correct solution? It's an even problem so I can't look it up.

Homework Statement Solve: xy''+2y'=12x^{2} with u=y' Homework Equations if you have: y'+P(x)y=Q(x) then your integrating factor is: I(x)=e^{\int P(x) dx} The Attempt at a Solution The only reason I was able to solve this is because I stumbled upon a...

Homework Statement Solve the linear differential equation: xy'-2y=x^{2} Homework Equations If you have a linear differential equation of the form: y'+P(x)y=Q(x) then your integrating factor is: I(x)=e^{\int P(x) dx} The Attempt at a Solution If we divide both...

Homework Statement Solve: \frac {dy}{dx} = 2x \sqrt{1-y^{2}} then find a solution for: y(0)=0 and can you find a solution for: y(0)=2 Homework Equations The Attempt at a Solution Just want to know if this is right. First the equation can be rearranged to...

When I work with parametric equations I find it simplest to use a graphing program. If you do not have such a program available to you then your only options are to make a table and graph it out by hand, this is of course assuming that you can not turn it back to Cartesian form such as y=f(x)...

Homework Statement Solve the differential equation: x \frac {dy}{dx} = y + e^{\frac {y}{x}} with the change of variable: v = \frac {y}{x} Homework Equations The Attempt at a Solution I would just like to know if I have successfully solved the problem. Thanks...

Hey Gib Z: I didn't use that because we skipped it in my class. I know nothing of the comparison test.

Hey thanks man! I need to get better and writing these expressions in many not-immediately-obvious ways.

Absolute Convergence, Conditional Convergence or divergence... Homework Statement \sum_{n=1}^{\infty} \frac {(-2)^{n}}{n^{n}} Homework Equations \lim_{n \rightarrow \infty} | \frac {a_{n+1}}{a_n}| < 1 \;\; absolute\; convergence \lim_{n \rightarrow \infty} | \frac...

Yeah man, i am sure that's what it says although I asked my teacher today and you are right the shells are suppose to be 1-y as the radius and the correct answer is 7pi/30. She said that they must have screwed up when filling in the answer. Thanks for pointing out that if the radius was 1-y...

Homework Statement Find the volume of the solid bounded by the curves y = x^{1/3} and y = x when rotated around y=1. Homework Equations Volume with washers: V = \pi \int R(x)^{2}-r(x)^{2} dx where R(x) and r(x) are functions of x defining the inner and outer radii of the washers...