What is the solution for (dy)/(dt)=2(1-y),y(0)=0 ?

The solution for (dy)/(dt)=2(1-y),y(0)=0 is y=-e^{-2t}+1

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(dy)/(dt)=2(1-y),y(0)=0

\frac{d y}{d t} = 2 (1 - y), y (0) = 0

y = - e^{- 2 t} + 1

Solution steps

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

Solve separable ODE:

y = - e^{- 2 t} + 1

y = - e^{- 2 t} + 1

y = \frac{8 x}{x ^{2} + 1}, (0, 0)

(x^{4} + 1) d y + x (1 + 4 y^{2}) d x = 0

n = 0 \sum \infty \frac{n ^{2}}{5 ^{n}}

\int e^{- 2 s} d s

1

What is the solution for (dy)/(dt)=2(1-y),y(0)=0 ?
The solution for (dy)/(dt)=2(1-y),y(0)=0 is y=-e^{-2t}+1