# Math Help - First order DE

1. ## First order DE

how do i solve this differential equation

dQ/dt = 50000 - (Q/160)??

2. Originally Posted by razorfever
how do i solve this differential equation

dQ/dt = 50000 - (Q/160)??
you have $Q' = 5000 - \frac Q{160}$

$\Rightarrow Q' + \frac Q{160} = 5000$

now, find the integrating factor...here it is $e^{t/160}$, so we have

$e^{t/160}Q' + \frac 1{160} e^{t/160}Q = 5000e^{t/160}$

now finish up...