What is the solution for y^'=100ky-ky^2 ?

The solution for y^'=100ky-ky^2 is y=-(100e^{100kt+100c_{1}})/(1-e^{100(kt+c_{1))}}

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y^'=100ky-ky^2

y^{^{'}} = 100 k y - k y^{2}

y = - \frac{100 e ^{100 k t + 100 c_{1}}}{1 - e ^{100 (k t + c_{1})}}

Solution steps

y^{'} (t) = 100 k y - k y^{2}

Solve separable ODE:

y = - \frac{100 e ^{100 k t + 100 c_{1}}}{1 - e ^{100 (k t + c_{1})}}

y = - \frac{100 e ^{100 k t + 100 c_{1}}}{1 - e ^{100 (k t + c_{1})}}

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What is the solution for y^'=100ky-ky^2 ?
The solution for y^'=100ky-ky^2 is y=-(100e^{100kt+100c_{1}})/(1-e^{100(kt+c_{1))}}