A signal e-αt sin(ωt) is the input to a Linear

A signal e^-αt sin(ωt) is the input to a Linear Time Invariant system. Given K and φ are constants, the output of the system will be of the form Ke^-βt sin(vt + φ), where

1. β need not be equal to α but v equal to ω
2. v need not be equal to ω but β equal to α
3. β equal to α and v equal to ω
4. β need not be equal to α and v need not be equal to ω

Frequency (v) of output must be equal to input frequency (ω),while β will depend on system parameters and need not be equal to α.