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Popular >

(dy)/(dx)=2-3y

Solution

\frac{d y}{d x} = 2 - 3 y

Solution

y = - \frac{e ^{- 3 x - c_{1}}}{3} + \frac{2}{3}

Solution steps

\frac{d y}{d x} = 2 - 3 y

Solve separable ODE:

y = - \frac{e ^{- 3 x - c_{1}}}{3} + \frac{2}{3}

y = - \frac{e ^{- 3 x - c_{1}}}{3} + \frac{2}{3}

Popular Examples

integral from 0 to 1 of 2/((x+2)^2)

\int_{0}^{1} \frac{2}{( x + 2 ) ^{2}} d x

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

integral of (-2)/(5x^2)

\int \frac{- 2}{5 x ^{2}} d x

(dy)/(dx)-xy^2=2yx

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

derivative of ln((3-x/(3+x)))

\frac{d}{d x} (ln (\frac{3 - x}{3 + x}))

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=2-3y ?
The solution for (dy)/(dx)=2-3y is y=-(e^{-3x-c_{1}})/3+2/3