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)
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General form of first -order ODE:
Multiply by we get:
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.