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Popular >

(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}

Popular Examples

integral of tan^5(8x)sec^4(8x)

\int tan^{5} (8 x) sec^{4} (8 x) d x

f (x) = \frac{1}{3 x}

derivative of (4x)^{10x^3}derivative of

(4 x)^{10 x^{3}}

derivative of 1/(sinh(x))

\frac{d}{d x} (\frac{1}{sinh ( x )})

(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=6

(x^{2} + 1) \frac{d y}{d x} + 3 x (y - 1) = 0, y (0) = 6

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