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Popular >

y^'=r(1-y/k)

Solution

y^{^{'}} = r (1 - \frac{y}{k})

Solution

y = - e^{\frac{- r t - c _{1}}{k}} + k

Solution steps

y^{'} (t) = r (1 - \frac{y}{k})

Solve separable ODE:

y = - e^{\frac{- r t - c _{1}}{k}} + k

y = - e^{\frac{- r t - c _{1}}{k}} + k

Popular Examples

derivative of (13)/(x^4)derivative of

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x \to + 1 + lim (ln (3 x^{2} - x - 2))

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y = \frac{5 x}{e ^{x}}

integral of 3ln(2x+1)

\int 3 ln (2 x + 1) d x

integral of (sin(7/x))/(x^2)

\int \frac{sin ( \frac{7}{x} )}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=r(1-y/k) ?
The solution for y^'=r(1-y/k) is y=-e^{(-rt-c_{1})/k}+k