- #1

- 301

- 0

## Homework Statement

Solve Q'+(1/(50+t))Q=1.

## Homework Equations

None.

## 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?