What is the d/(dt)((y)(8y-y^2))=-8/144 sqrt(y),y(0)=8 ?

The d/(dt)((y)(8y-y^2))=-8/144 sqrt(y),y(0)=8 is -(sqrt(2))/9

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d/(dt)((y)(8y-y^2))=-8/144 sqrt(y),y(0)=8

\frac{d}{d t} ((y) (8 y - y^{2})) = - \frac{8}{144} y, y (0) = 8

- \frac{2}{9}

Solution steps

- \frac{8}{144} y = - \frac{8}{144} y

Constant function results in a constant

y (0) = 8

= 8

- \frac{8}{144} 8 = - \frac{2}{9}

= - \frac{2}{9}

y d y = x (1 + x^{2})^{\frac{- 1}{2}} (1 + y^{2})^{\frac{1}{2}} d x

y^{^{'}} sec (x) = y^{2}, y (\frac{13 π}{2}) = \frac{1}{3}

\frac{d y}{d x} = - 16 x y

(\frac{y}{x + 6 x}) + (ln (x) - 2) y^{^{'}} = 0

y^{^{'}} = 70 y x^{13}, y (1) = 2

What is the d/(dt)((y)(8y-y^2))=-8/144 sqrt(y),y(0)=8 ?
The d/(dt)((y)(8y-y^2))=-8/144 sqrt(y),y(0)=8 is -(sqrt(2))/9