What is the solution for (dy)/(dt)=100-y,y(0)=15 ?

The solution for (dy)/(dt)=100-y,y(0)=15 is y=-85e^{-t}+100

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(dy)/(dt)=100-y,y(0)=15

\frac{d y}{d t} = 100 - y, y (0) = 15

y = - 85 e^{- t} + 100

Solution steps

\frac{d y}{d t} = 100 - y

Solve separable ODE:

y = - 85 e^{- t} + 100

y = - 85 e^{- t} + 100

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\int cot (u) d u

y^{^{'}} = 2 x (x - 2)

What is the solution for (dy)/(dt)=100-y,y(0)=15 ?
The solution for (dy)/(dt)=100-y,y(0)=15 is y=-85e^{-t}+100