Find the general solution of the given system.
dx
dt
=
6x + y
dy
dt
=
−2x + 4y
[x(t),
y(t)]= _____________,
_______________
(6c1+8c2)10sin(6t)+(6c2+8c1)10cos(6t),
c1cos(6t)+c2sin(6t)
^above is the answer I got, which is incorrect.
. Consider a Bessel ODE of the form:
x^2y"+xy'+(x^2-1)y=0
What is the general solution to this ODE assuming that the
domain of the problem includes x=0? Why?
Find dy/dx and d^2y/dx^2, and find the slope and concavity (if
possible) at the given value of the parameter. (If an answer does
not exist, enter DNE.)
Parametric
Equations
Point
x = et, y =
e−t
t = 3
dy/dx =
d^2y/dx^2 =
slope =
concavity=
---Select--- concave upward concave downward
neither