What is the solution for (dP)/(dt)+P=10,P(0)=4 ?

The solution for (dP)/(dt)+P=10,P(0)=4 is P=-6e^{-t}+10

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(dP)/(dt)+P=10,P(0)=4

\frac{d P}{d t} + P = 10, P (0) = 4

P = - 6 e^{- t} + 10

Solution steps

\frac{d P}{d t} + P = 10

Solve separable ODE:

P = - 6 e^{- t} + 10

P = - 6 e^{- t} + 10

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What is the solution for (dP)/(dt)+P=10,P(0)=4 ?
The solution for (dP)/(dt)+P=10,P(0)=4 is P=-6e^{-t}+10