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Popular >

(dy)/(dx)=7y(7-y)

Solution

\frac{d y}{d x} = 7 y (7 - y)

Solution

y = \frac{7}{e ^{- 49 x + c_{1}} + 1}

Solution steps

\frac{d y}{d x} = 7 y (7 - y)

Solve Bernoulli ODE:

y = \frac{7}{e ^{- 49 x + c_{1}} + 1}

y = \frac{7}{e ^{- 49 x + c_{1}} + 1}

Popular Examples

derivative of (5x^3+9x^2)/x derivative of

\frac{5 x ^{3} + 9 x ^{2}}{x}

integral of 1/(5cos(x)-4)

\int \frac{1}{5 cos ( x ) - 4} d x

integral of x^2*log_{e}(x)

\int x^{2} \cdot lo g_{e} (x) d x

limit as x approaches-3 of-x^2

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

(\partial)/(\partial x)((x+y+z)^2)

\frac{\partial}{\partial x} ((x + y + z)^{2})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=7y(7-y) ?
The solution for (dy)/(dx)=7y(7-y) is y= 7/(e^{-49x+c_{1)}+1}