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Solving a linear first order differential equation.

Please help me solve this equation. I worked it out but am not sure of my answer or if I can simplify it. I used the four step method of solving a linear first order equation, so if you could solve it in the same manner, it would be appreciated. Thank you.

(t+1)ds/dt +2s=3(t+1) + 1/(t+1)^2

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