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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\int 11 sin^{5} (x) d x

\frac{d y}{d x} = (\frac{( 2 y + 7 )}{( 4 x + 9 )})^{2}

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y = 3 e^{- x} + e^{4 x}

\int x x d x

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