- #1

Northbysouth

- 249

- 2

## Homework Statement

Determine the solution and limiting factor

(t+1)y' + y = 6

y(1) = -2

## Homework Equations

## The Attempt at a Solution

So I started off by isolating y'

y' + y/(t+1) = 6(t+1)

Then I found u(t)

u(t) = e

^{∫ t+1 dt}= e

^{t2/2 +t}

y' =(e

^{t2/2 +t}) = y(e

^{t2/2 +t}) = 6(e

^{t2/2 +t})/(t+1)

The difficulty I'm having is integrating 6(e

^{t2/2 +t})/(t+1)

u-substitution doesn't help. Suggestions are appreciated