Use the five steps of the Method of Integrating Factors to find the general solution of each linear ODE (hint: write ODE in normal linear form):
y' - 2ty = t
y' = sin(t) + y*sin(t)
(PLEASE SEE ATTACHMENT FOR COMPLETE PROBLEM)
The solution develops the formalism of teh general solution for this type of equations and then goes on and apply the process to two equations.