What is the solution for (dy)/(dx)=k(10000y-y^2) ?

The solution for (dy)/(dx)=k(10000y-y^2) is y=-(10000e^{10000kx+10000c_{1}})/(1-e^{10000(kx+c_{1))}}

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(dy)/(dx)=k(10000y-y^2)

\frac{d y}{d x} = k (10000 y - y^{2})

y = - \frac{10000 e ^{10000 k x + 10000 c_{1}}}{1 - e ^{10000 (k x + c_{1})}}

Solution steps

\frac{d y}{d x} = k (10000 y - y^{2})

Solve separable ODE:

y = - \frac{10000 e ^{10000 k x + 10000 c_{1}}}{1 - e ^{10000 (k x + c_{1})}}

y = - \frac{10000 e ^{10000 k x + 10000 c_{1}}}{1 - e ^{10000 (k x + c_{1})}}

\frac{d y}{d t} - 6 y = 5, y (0) = 15

(x - 2) d y - (2 y + 3) d x = 0

y^{^{'}} csc (t) = \frac{- y ^{7}}{6}

y^{^{'}} = \frac{ln ( x )}{x y ^{2}}

y^{^{'}} + 4 y = 5

What is the solution for (dy)/(dx)=k(10000y-y^2) ?
The solution for (dy)/(dx)=k(10000y-y^2) is y=-(10000e^{10000kx+10000c_{1}})/(1-e^{10000(kx+c_{1))}}