If y" – 2y + 6y = sin(3t), y (0) = 2, y (0) = 3 %3| then find Y (s) = L {y(t)}. 3 2s-1 (s² – 2s+6)(s²+9) s2 – 2s+6 OY (s) = 2s+6 ++9 3 3 s2+9 O Y (s) = 3 (s² – 2s+6)(s²+9) 3s+2 2s-1 Y (s) (s² –...

Extracted text: If y" – 2y + 6y = sin(3t), y (0) = 2, y (0) = 3 %3| then find Y (s) = L {y(t)}. 3 2s-1 (s² – 2s+6)(s²+9) s2 – 2s+6 OY (s) = 2s+6 ++9 3 3 s2+9 O Y (s) = 3 (s² – 2s+6)(s²+9) 3s+2 2s-1 Y (s) (s² – 2s+6)(s² +9) s2 –2s+6 3 3s+4 (s² – 2s+6)(s²+9) s2 –2s+6 3(s² –2s+6) 2s-3 Y (s) s2 +9 s2 –2s+6