What is the solution for (dP)/(dt)+2tP=P+8t-4 ?

The solution for (dP)/(dt)+2tP=P+8t-4 is P=e^{t-t^2+c_{1}}+4

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(dP)/(dt)+2tP=P+8t-4

\frac{d P}{d t} + 2 tP = P + 8 t - 4

P = e^{t - t^{2} + c_{1}} + 4

Solution steps

\frac{d P}{d t} + 2 tP = P + 8 t - 4

Solve separable ODE:

P = e^{t - t^{2} + c_{1}} + 4

P = e^{t - t^{2} + c_{1}} + 4

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What is the solution for (dP)/(dt)+2tP=P+8t-4 ?
The solution for (dP)/(dt)+2tP=P+8t-4 is P=e^{t-t^2+c_{1}}+4