Recent content by jla2w

Author wrote me back saying that it was a mistake, so that is in fact a separable equation.

Yes, that's definitely the equation, and the author says "This equation is plainly not separable (try and convince yourself that this is so)."

In Example 1.5 of Differential Equations Demystified, the equation is y' +2xy = x, and the author claims this is not separable. Now, what am I missing. I try the following. 1) dy/dx = x - 2xy 2) dy/dx = x(1-2y) 3) dy/(1-2y) = xdx I guess one of those is invalid but I just...

Thanks Chi, and by the way, wahoowa (SEAS '02)

thanks, very helpful. So as the car moves around the banked road, the road exerts a force on the car (centripetal) directly proportional to the square of the velocity. In addition, since friction is not a factor, as it is in the resting situation, the vertical component of the normal force...

thanks, that is a helpful explanation, but there is one aspect I'm still unclear on. If the car were at rest, then the normal force in a direction perpindicular to the track would be less than the force due to gravity directed downward. In this case the normal force is greater than the...

I am teaching myself physics using Giancoli's ed 5 text, and am confused on one of the examples. P 121 in the fifth edition, example 5-8 to be precise. In this a car is on an inclined plane (i.e a racetrack where the road banks to reduce the friction needed to keep the cars on the track). The...