Homework Statement
Find the product of this
http://www.webassign.net/ksorgchem2/14-P-019e1.jpg
The Attempt at a Solution
I tried this but it is wrong.
http://www.webassign.net/marvinimages/e/d/b3dfb33e165ce17f7b0a8bab7b9d9d.png
Not really sure what to do now.
Homework Statement
A popular model for the mass distribution in a spheroid (such as a bulge) is the
Hernquist model, with density
ρ(r) = M(total)*a / 2πr(a+r)^3
M(total) is the total mass. a is constant with dimensions of length. Derive the enclosed mass
M(r)
The Attempt at a...
I am trying to get an eigenvector for the following matrix, I am up to the final step.
4 1
0 0
I got it to be
-1
4
is this the same as
1
-4
sorry I am pretty new to linear algebra.
Okay I just looked it up in my book and there is a procedure to do that.
If (Nx-My) / M = Q where Q is a function of y only then the integrating factor of the equation is u(y) = exp (int) Q(y) dy
I was referring to finding the integrating factor of Exact equations. With the form:
(M)dx + (N)dy = 0 and then to find the integrating factor you do
du / dx = (My - Mx) / N * u where u is the integrating factor and when I write My I mean M derived with respect to y. An example would be a...
Thanks for the assist hunt_mat. And lineintegral1, I had a general question about finding the integrating factor for the non-exact equations. I know how to find the integrating factor when it will be dependent on x : du/dx = My - Nx / N * u where u is the integrating factor. But what about...
Wow that does make it a lot easier. I was practicing using the Integrating factor approach so I didn't even try seeing it that way, my bad. So is there a way to get an Integrating factor for this problem by making it: (2x)dx - (y + (x^2)y)dx = 0 ?
Homework Statement
y' = (2x) / (y+(x^2)y) y(0) = -2
The Attempt at a Solution
I tried doing this by finding the Integrating factor and I got that to be u = -1-x^2 by using the
(My - Nx) / N formula. Using this did not work out for me and I'm not seeing the other approach...
Homework Statement
Verify that each given function is a solution of the differential equation.
1. ty' - y = t^2 ; y = 3t + t^2
2. y'' + y = sect , 0<t<pi/2 ; y = (cost)ln( cost ) + tsint
The Attempt at a Solution
int (tdy) = int(t^2 + y)dt
which isn't y=3t + t^2...
Homework Statement
Find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 =4, above the xy-plane, and below the cone z=sqrt(x^2 + y^2).
The Attempt at a Solution
Use Cylindrical Coordinates.
Note that r ≤ z ≤ √(4 - r^2).
These sphere and cone intersect when x^2 + y^2 +...
Homework Statement
I have three problems and I could really use some help.
1. Integrate the function f(x,y,z) = y over the part of the elliptic cylinder
x^2/4 +y^2/9 = 1 that is contained in the sphere of radius 4 centered at the origin and such that x≥0, y≥ 0, z≥0.
2. Find the total...