Recent content by Charge2

Thanks Ray and LcKurtz, the series has been solved with the help of your clarifications. And yes distinguishing between with what Fourier series to use was a major issue. I made the mistake of thinking that if function was given piecewise and not extended then you would have to take into...

So because the function is mirrored at the period T= 3/2 therefore x = 3/2, it is even..? I ran a program through Matlab to doubly check if the function was even and check the coefficients calcs, and the b_n coefficient did not equate to 0- with some quite "hairy" coefficients at that.

Homework Statement Hello everyone, I'm new to the great field that is Fourier analysis, and have a question about the way in which to determine if the function is a odd or even function. Given the function, of one period f(x) = { x; 0 <= x < =1, 1; 1 < x < 2, (3 -x); 2 <= x <= 3: Is...

52 weeks... not a bad medicine man after all. I on the other hand, need to work more on ode magick.

Ok this is not working out, ##t = -2\sqrt{P} + C## C = 52 ##t = -2\sqrt{P} + 52## ##t = 0.##

Dang. I had this on my first attempt but it just looked wrong and unfamiliar, so played around with the equation, this was the first attempt, ##\frac{dP}{dt} = -\sqrt{P} = -P^{1/2} ##. and rearanged it to, ##t = \int \frac{1}{-p^{1/2}}dP = ##. Is that ok?

Homework Statement This is a interesting (morbid) problem from Simmons- Calculus with Analytic Geometry. In a certain barbourous land, two neighbouring tribes have hated one another from time immemorial. Being barbourous peoples, their powers of belief are strong, and a solemn curse pronounced...

Yes! Thankyou everyone for the kind and helpful guidance. :-)

I've practiced very little with line integrals. I've done some further research and I think I have come up with a solution. I am very new to latex so I written a brief summary. After doing the partial derivatives, they equated to each other. I think this shows that we can find a potential...

Ok so I've obtained the partial derivatives, ##\frac{\partial F}{\partial x}= \frac{-2yx}{(x^2+ y^2)^2}## ##\frac{\partial F}{\partial y}= \frac{2yx}{(x^2+ y^2)^2}## Now, do I integrate from the points, ##I =\int^5_2 [\frac{-2yx}{(x^2+ y^2)^2}+ \frac{2yx}{(x^2+ y^2)^2}] = [\frac{-2y5}{(5^2+...

Homework Statement Evaluate the Work Integral, ## I = \int_\Gamma [ (\frac{y} {x^2 + y^2} + 1) dx - \frac{x} {x^2+y^2}dy]## between the points (5, 30/pi) and (2,8/pi), using the potential function. Pesent your answer in exact form. Homework Equations ##W = \int F . dr## ##\int_\Gamma...