What is the solution for (dy)/(dt)=100-y,y(0)=30 ?

The solution for (dy)/(dt)=100-y,y(0)=30 is y=-70e^{-t}+100

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(dy)/(dt)=100-y,y(0)=30

\frac{d y}{d t} = 100 - y, y (0) = 30

y = - 70 e^{- t} + 100

Solution steps

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

Solve separable ODE:

y = - 70 e^{- t} + 100

y = - 70 e^{- t} + 100

y^{^{'}} = y^{2} x^{7}

1 \cdot \frac{d y}{d x} = 5 y, y (0) = 2

cos (y) \frac{d y}{d x} = x^{2} csc^{2} (y)

\frac{d y}{d x} = (1 - y^{2})

\frac{y - 1}{y ^{2}} d y = \frac{1 + x}{x ^{2}} d x

What is the solution for (dy)/(dt)=100-y,y(0)=30 ?
The solution for (dy)/(dt)=100-y,y(0)=30 is y=-70e^{-t}+100