I'm willing to try.
(Sorry about that.) I recall differential equations fairly well.
I have uploaded. Hope you have received.
OK, I can do that. I should be able to upload a PDF solution in an hour or two.
Sounds great. Thanks Arthur for helping again...
OK, here should be a complete solution. Let me know if you need clarification or more detail. (As I'm on the Pacific coast of the US, I'm going to go to sleep shortly. I'll be back within 7 hours.)
Hi Arthur, thanks let you know if I need clarification later when I look at it fully.
Hi Arthur, Thanks let you know if need clarification when I look at it fully
Sorry my computer is acting up
I was wondering for question 3 is it possible to get a more detailed working out on how the answer e^3x(cosx+Bsinx) was found. Thanks
Well, if you try substituting y = exp (t x) into the equation d^2y/dx^2 - 6 dy/dx + 10 y = 0,you get t^2 - 6t + 10 = 0, which has roots t = 3 ± i. Hence, the general solution is y = a exp( (3+i) x) + b exp((3-i)x) = exp(3 x) ( (a+b)cos(x) + i (a-b)sin(x)).Does that help?
Where did the 3 come from... Is it a factor of 6
It's the quadratic equation; the solution of a t^2 - b t + c = 0 ist = (b ± sqrt(b^2 - 4 a c))/(2 a). In this case, we gett = (6 ± sqrt(36 - 40))/2 = (6 ± sqrt(-4))/2 = (6 ± 2 i)/2 = 3 ± i.
Yeah, now I am starting to understand...
About question 4. Which formula was used to get the sequences for question a, b and c. And if it's possible could you please give me a list of all the sequences and series formula's generally used. Thanks