Homework Statement
A rigid body is made of three identical rods, each with length L = 0.525 m, fastened together in the form of a letter H, as in Figure 10-56 below. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H. The body is allowed...
Thanks for the response and help. Alright so here is what I did:
y = 3x- x' + 2t^2;
(3x- x' + 2t^2)' = 4x -2(3x- x' + 2t^2) + 2t^2;
3x' - x'' + 2t^2' = 4x -6x + 2x' -4t^2 + 2t^2
x'' - x' -2x = 2t^2' - 2t^2
r^2 - r - 2 = 0
r = 2, r = -1
I don't know how to proceed from this...
Homework Statement
Use substitution/elimination to find the general solution.
dx/dt = 3x-y+2t^2
dy/dt = 4x-2y-8t^2
Homework Equations
I'm practically clueless on how to solve this problem using substitution/elimination, I'm pretty sure the way I'm doing it is completely wrong. If anyone...
Homework Statement
Solve the following systems by either substitution or elimination:
dx/dt = y
dy/dt = -x + cos(2t)
Homework Equations
I know the solution is:
x(t) = c_1cos(t) + c_2sin(t) - 1/3cos(2t)
y(t) = -c_1sin(t) + c_2cos(t) + 2/3sin(2t)
The Attempt at a Solution
x' = [ 0 1; -1...
Homework Statement
A more efficient algorithm to calculate Fibonacci numbers applies the simultaneous transformation:
T(a; b) = (a+b; a)
repeatedly with a = 1 and b = 0 as initial values.
What Fibonacci numbers result from T^k(1; 0)? Justify your answer (e.g., as proof by induction in...