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Popular Calculus >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

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