First-order linear differential equation problem

[s3a]

Homework Statement

Solve the initial value problem

8(t+1) dy/dt - 5y = 15t,

for t > -1 with y(0) = 18.

Homework Equations

First-order linear differential equation.

The Attempt at a Solution

My latest attempt at a solution is attached as MyWork.jpg.

Any help would be greatly appreciated as always!
Thanks in advance!

 

[ehild]

Check the second line of your handwriting: An "y" is missing.

ehild