No, this makes sense. I actually came up with this stuff like an hour or two ago, but like you said, it looked so simple, I thought that there was no way that it could be right and that I was missing a crucial step and making dumb mistakes like I usually do. Thank you so much for your help. You...
If my math is correct I get
(dx/dy) = k/(2Ky + K^2)^(1/2).
When I differentiated x I came up with
which equates to:
Please tell me I did that right.
^I've come to realize that the above is wrong. It should be
x^2 = +,-(y+K)^2 - y^2
I'm still having trouble proving that that answer is the same as
(dx/dy) = (-y+(x^2+y^2)^(1/2))/x
I differentiated the first equation, and came up with (K/((y+K)^2-y^2)) which doesn't relate to the...
Well, I solved/checked it another way and came up with the same answer. What I'm having problems with now is understanding the answer maple gave. My professor gave us a worksheet that demonstrated what the answer was since he was having problems generating the slope fields.
My answer was...
If you come back on and get a chance, you think you could help me with I, more so in see if the answer I obtained is correct.
For Part H I solved it as follows:
x*(dx/dy)^2 + 2y*(dx/dy) = x
.5w^(-1/2)*dw = dx
w^(1/2)*(.5w^(-1/2)*(dw/dy))^2 + 2y*.5w^(-1/2)*dw/dx = w^(1/2)...
So you're saying that dy/dx = cot(theta). I'm sorry but other than that I don't understand where you are going. I can tell I'm over analyzing already. When asking to "derive the relationship" does that simple translate to, state what this means and not literally differentiate?
As bad as it may sound, I'm having problems understanding part C through E. I've tinkered around with the other portions of the problem, but for some reason, I can't seem to understand those parts. I think I'm over analyzing more than I need to.