Recent content by VoteSaxon

so... the particular integral is: yPI = Bsin(2t) + Btcos(2t) ?

I'm sorry, but this left me in a mess. My professor and his notes have said multiple times that there are only arbitrary constants at the front of the elements in the particular integral. Now you are saying there are new functions introduced instead! With y''PI and yPI in the same function...

Yes, for the complementary function I did get ##y = e^{\pm 2i}## Does this mean this is a sufficient solution to the equation? And about your last sentence, sorry, I do not think I have come across that in my studies.

Homework Statement Well I am looking for the particular integral of: d2y/dt2 + 4y = 5sin2t The attempt at a solution As f(t) = 5sin2t, the particular integral yPI should look like: yPI = Acos2t + Bsin2t dyPI/dt = -2Asin2t + 2Bcos2t d2yPI/dt2 = -4Acos2t - 4Bsin2t Subbing into the differential...

Sorry, a bit confused. I am pretty sure for (ii) I am meant to get E = mc2. My main problem is getting there from the formulae the question provided. Does that make sense? ...

YES! Thank you! I think I got it! Really appreciate your patience and cleverness guys! Keep up the good work.

Wouldn't the 2x2 determinant be (a2 - b2)(b - c) - (a - b)(b2 - c2)? Because I do not think this gives the correct answer - it gives me (a2 + bc)(b - c). Maybe I could manipulate this somehow to give me what the answer is looking for ...

I basically subtracted the columns from each other until the row of 1s disappeared. sigh... this is really wrong isn't it?

Homework Statement Using the special relativity formulae p = mv / [1 - (v/c)2] E2 = p2c2 + m2c4 derive linear relations between: (i) momentum and mass; (ii) energy and mass; (iii) energy and momentum, which involve only c, c2, β = v/c, and γ (= 1/sqrt(1 - β2)) The attempt at a solution I am...

Well thanks guys, I have managed to get rid of the bottom row with your methods. Again, not too sure where to go from there. As the first row is kind of a multiple of the second row (R1 = R22) I thought I could go from there, but it didn't seem to pan out. Am I on the right track, or have I...

Homework Statement I'm a bit at a loss - I thought the last row with '1's would be useful, but it just gave me: (b2c - bc2) - (a2c - ac2) + (a2b - ab2) and bc(b - c) - ac(a - c) + ab(a - b) But then it is a dead end. I am probably doing something stupid again ... Any help appreciated.

I enjoyed this movie a lot, but I'm pretty sure the neuroscience behind the premise is flawed. Regardless, I too really want some of those pills.

He's saying Brainstorm is an oldie, not Transcendence :) I think Star Trek dealt with complex AI well, with Data, the EMH and maybe V'ger the best examples, where the machines are similar to their creators, whether through positronic brains, neural nets or neural programming. In terms of film...

Maybe interesting for a story, is that a long enough journey would mean this population doesn't know/remember a lot about living on terra firma, so they have to rediscover all the ways of surviving wild. Building homes, infrastructure, wells, even making fire could be new territory for your...

I honestly found the first half of season 1 very bland, but stuff goes down very suddenly and everything has been more awesome and interesting since. Definitely recommend giving it another shot.