What is the solution for (dy)/(dx)=y(5-y),y=6 ?

The solution for (dy)/(dx)=y(5-y),y=6 is y=(30e^{5x})/(-1+6e^{5x)}

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(dy)/(dx)=y(5-y),y=6

\frac{d y}{d x} = y (5 - y), y = 6

y = \frac{30 e ^{5 x}}{- 1 + 6 e ^{5 x}}

Solution steps

\frac{d y}{d x} = y (5 - y)

Solve Bernoulli ODE:

y = \frac{30 e ^{5 x}}{- 1 + 6 e ^{5 x}}

y = \frac{30 e ^{5 x}}{- 1 + 6 e ^{5 x}}

\frac{d r}{d t} = \frac{0.15 r}{0.5} + 0.1

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

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What is the solution for (dy)/(dx)=y(5-y),y=6 ?
The solution for (dy)/(dx)=y(5-y),y=6 is y=(30e^{5x})/(-1+6e^{5x)}