The following differential equations represent oscillating springs.

**(i)**

**(ii)**

**(iii)**

**(iv)**

Which differential equation represents:

**(a)**
The spring oscillating most quickly (with the shortest period)?

**(b)**
The spring oscillating with the largest amplitude?

**(c)**
The spring oscillating most slowly (with the longest period)?

**(a)**
The spring oscillating with the largest maximum velocity?

You can earn partial credit on this problem.