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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

n = 1 \sum \infty n^{5} (1 + n^{6})^{5}

\frac{d}{d x} ((x^{- 2} + x^{- 3}) (x^{5} - 2 x^{2}))

\int cos^{5} (2 y) d y

\frac{d}{d x} (cos (x^{- 3}))

(- 4, - 4), (2, 5)

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