The general solution of x' = 2x + 5y and y' = -2x - 4y is given by: a) x = e -t (-5Acost -5Bsint) y = e -t ((A + 3B) cost + (3A - B)sint) b) x = e -t (-5Acost -5Bsint) y = e -t ((B -3A) cost + (A -...

The general solution of
x' = 2x + 5y
and
y' = -2x - 4y
is given by:

a)

x = e^-t
(-5Acost -5Bsint)

y = e^-t
((A + 3B) cost + (3A - B)sint)

b)

x = e^-t
(-5Acost -5Bsint)

y = e^-t
((B -3A) cost + (A - 3B)sint)

c)

x = e^-t
(-5Acost -5Bsint)

y = e^-t
((A + 3B) cost + (B - 3A)sint)

d)

x = e^-t
(-5Acost -5Bsint)

y = e^-t
((3A -B) cost + (A +3B)sint)