# Is my answer correct? Please check

1. Jan 20, 2015

### Math10

1. The problem statement, all variables and given/known data
Solve Q'+(1/(50+t))Q=1.

2. Relevant equations
None.

3. The attempt at a solution
This is my work:
I know that the integrating factor is (1/(50+t)).
e^integral of (1/(50+t))dt=e^ln abs(50+t)=50+t
(50+t)Q'+Q=50+t
Q(50+t)=50t+t^2+C
Q=(50t+t^2+C)/(50+t)
I got Q=(50t+t^2+C)/(50+t) as the answer. Am I right?

2. Jan 20, 2015

### SteamKing

Staff Emeritus
You can check this yourself by substituting for Q and Q' in the original ODE.

3. Jan 20, 2015

### Ray Vickson

I concur with SteamKing's answer. You can easily check it yourself, and it would be good to develop the habit of checking on your own.

4. Jan 20, 2015

### LCKurtz

5. Jan 20, 2015

### Staff: Mentor

Yes.

Math10, do not abandon a thread, and then start a new one on the same problem.

Also, as SteamKing and Ray Vickson have pointed out, you can and should, check answers to problems like this on your own.

6. Jan 24, 2015

### Math10

Okay. I won't abandon a thread again.

7. Jan 24, 2015

### Math10

And I have already solved the problem.