verdelaurence
New member
- Joined
- Dec 11, 2011
- Messages
- 3
t(y1)'' - t(y1)' + y2 = 0
t(y2)'' - t(y2)' - y1 = 0
y1(0) = 0
y1(0) = 1
y2(0) = 0
(y2)' = -1
a Obtain Laplace Transform
b Derive its primal
c Use eigen values-eigen vectors method to solve the deduced system for the transfrom functions from part b with the initial conditions y1(0) = -1 y2(0)=2 s=0
d Analyze the trajectories in phase plane for the solutions
t(y2)'' - t(y2)' - y1 = 0
y1(0) = 0
y1(0) = 1
y2(0) = 0
(y2)' = -1
a Obtain Laplace Transform
b Derive its primal
c Use eigen values-eigen vectors method to solve the deduced system for the transfrom functions from part b with the initial conditions y1(0) = -1 y2(0)=2 s=0
d Analyze the trajectories in phase plane for the solutions