First look for the fundamental solutions by solving the homogeneous version of the ODE:

The characteristic equation is

with roots
and
, giving the two solutions
and
.
For the non-homogeneous version, you can exploit the superposition principle and consider one term from the right side at a time.

Assume the ansatz solution,



(You could include a constant term <em>f</em> here, but it would get absorbed by the first solution
anyway.)
Substitute these into the ODE:




is already accounted for, so assume an ansatz of the form



Substitute into the ODE:





Assume an ansatz solution



Substitute into the ODE:



So, the general solution of the original ODE is

Answer:
Step-by-step explanation:
Weekly tax that Lisa pay is 5% of her weekly earning at $2.50
= 5/100× $2.50=$0.125
Answer:
Picture of problem?
Step-by-step explanation:
Answer:
She drove 12 hours
5+4+3=12
Step-by-step explanation: