Lety(t)represent your bank account balance, in dollars, aftertyears. Suppose you start with $10000 in the account. Each year the account earns 5% interest, and you deposit $6000 into the account.

This can be modeled with the differential equation:

dy/dt=0.05y+6000

y(0)=10000

Solve this differential equation fory(t)

y(t)=_________________