Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $50000 in the account. Each year the account earns 4% interest, and you deposit $3000 into the account. This can be modeled with the differential equation: I
dt/dy =0.04y+3000
y(0)=50000
​Solve this differential equation for y(t)y(t)=1