Name 1. Classify the following ODEs by their Order, Linear (L) or Non-Linear(NL), Homogeneous(H) or Non- Homogeneous (NH), and Separable (S) or Non-Separable(NS) 1. (1)' - 3yy + xy = sing 2. "+ely" - singly' - e=0 3. (eat - y) dy + elude = 0 4. (1) + 1 ) y=dy-y 5. (y) + 2) y/ + Ay (x] - 2x -3) =0 2. Let L If (t)] and L-' [F (s)] represent the Laplace and Inverse Laplace Transform respectively Answer the following questions: 1. L 21 - 313 + 2e-3 + cos (;) ] 2. Left sin 3t + e-3 cos(5t)] 3. L sin (3x) + cosh(2x)] 4. L-1 5 ( 8 - 7) # 5. 1-1[ ] 6.1-1 26-1 83-4#+13 7. L-1 $3-48+3 (3-40+5)" 8. L-1 $245s+11 s(s-1)(8-2)