Hi, I'd just like to have a quick clarification with regards to the method of undetermined coefficients. I know that if a characteristic equation has the form
(r-4)3 = 0
then the characteristic solution will be
yc = e4t + te4t + t2e4t + t3e4t
and the particular solution ought to be...
For simple differential equations like y'=y(y-3) where there 2 roots, is it possible for y to approach y=root for both roots? Or must one diverge while the other converges? For multiple roots, can it only converge on one root, the others all diverging?
If it can converge on multiple roots...
I just noticed a typo in my initial post. ϕ2 =49.22, not ϕ1 (that equals 44)
Sorry, here are the steps I took:
1. Dropped a vertical line from where the ray first intersects the prism (let's call that point B). The point C will be where ϕ2 is, where the ray exits the prism. The point C will...
In order to find ϕ2 I first had to put a normal down from where the ray first enters the prism, then find the values of the parts of D using the given 30 degree corner and h, the height of the incident.
How would the coordinate axis help in finding ϕ3? I don't think I'm supposed to use h and d...
Homework Statement
Red light is incident in air on a 30o - 60o - 90 o prism as shown. The incident beam is directed at an angle of φ1 = 44o with respect to the horizontal and enters the prism at a height h = 16 cm above the base. The beam leaves the prism to the air at a distance d = 41.5 along...