What is the solution for (dy)/(dt)=0.0572(400-y) ?

The solution for (dy)/(dt)=0.0572(400-y) is y=-e^{-0.0572t-c_{1}}+400

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(dy)/(dt)=0.0572(400-y)

\frac{d y}{d t} = 0.0572 (400 - y)

y = - e^{- 0.0572 t - c_{1}} + 400

Solution steps

\frac{d y}{d t} = 0.0572 (400 - y)

Solve separable ODE:

y = - e^{- 0.0572 t - c_{1}} + 400

y = - e^{- 0.0572 t - c_{1}} + 400

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What is the solution for (dy)/(dt)=0.0572(400-y) ?
The solution for (dy)/(dt)=0.0572(400-y) is y=-e^{-0.0572t-c_{1}}+400