# Help solving First order DE

1. Jan 25, 2009

### Outlaw747

1. The problem statement, all variables and given/known data
$$\frac{dA}{dt}$$=$$\frac{5}{3}$$ - $$\frac{4A}{150+2.5t}$$ lb/min
so basically dA/dt = rate in - rate out

2. Relevant equations
This is basically a mixture problem. There is 10 gals/min going in and 4gals/min going out. Tank starts at 150/300 gallons with 1/4 lb/gal mixture. 5gal/min are coming in at 1/3 lb/gal mixture, other 5 is clean water.

3. The attempt at a solution
Derived this equation, tried to manipulate it algebraically, but not really sure how to proceed. Can't seem to separate the equation and integrate, all I really know is integration factors and substitution. Any help would be great. Thanks.

2. Jan 26, 2009

### Outlaw747

Nevermind, got it using integration factor.