dx/dt = -5x - y

dy/dt = 4x-y

x(1) = 0 and y(1)= 1

ok so rewriting this problem....

Dx + 5x + y = 0

Dy - 4x + y = 0

rewriting it again I get...

x(D+5) + y = 0

-4x + y(D+1) = 0

so i chose to eliminate the x first and got my y to be...

y = C1e^-3t + C2te^-3t

and this is where i get confused, i thought i was doing the problem right but my book has a different answer. i know the initial values will replace the C1 and C2 values...it seems that the e^-3t should be e^-3t+3 which i dont see how they got...

any help would be appreciated..thanks in advance!