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Popular >

y^'=y-y^2

Solution

y^{^{'}} = y - y^{2}

Solution

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

Solution steps

y^{'} (t) = y - y^{2}

Solve separable ODE:

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

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

Popular Examples

\frac{d y}{d x} = 10 - y

limit as x approaches-5+of (x+10)/(x+5)

x \to - 5 + lim (\frac{x + 10}{x + 5})

integral of x^2e^{16x}

\int x^{2} e^{16 x} d x

derivative of (e^x-e^{-x}/(e^x+e^{-x)})

\frac{d}{d x} (\frac{e ^{x} - e ^{- x}}{e ^{x} + e ^{- x}})

join 3/2 sin(x)join

\frac{3}{2} sin (x)

Frequently Asked Questions (FAQ)

What is the solution for y^'=y-y^2 ?
The solution for y^'=y-y^2 is y=-(e^{t+c_{1}})/(1-e^{t+c_{1)}}