What is the solution for (dy)/(dx)=(1-y)y-6 ?

The solution for (dy)/(dx)=(1-y)y-6 is y=(tan(-(sqrt(23)(x+c_{1}))/2)sqrt(23))/(2)+1/2

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(dy)/(dx)=(1-y)y-6

\frac{d y}{d x} = (1 - y) y - 6

y = \frac{tan ( - \frac{23 ( x + c _{1} )}{2} ) 23}{2} + \frac{1}{2}

Solution steps

\frac{d y}{d x} = (1 - y) y - 6

Solve separable ODE:

y = \frac{tan ( - \frac{23 ( x + c _{1} )}{2} ) 23}{2} + \frac{1}{2}

y = \frac{tan ( - \frac{23 ( x + c _{1} )}{2} ) 23}{2} + \frac{1}{2}

\frac{1}{2} - \frac{1}{2} \cdot (\frac{1}{s + 1})

\int e^{l n (2 x)} d x

x \to 0 lim (\frac{5 x cot ( 3 x )}{2 sec ( x )})

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What is the solution for (dy)/(dx)=(1-y)y-6 ?
The solution for (dy)/(dx)=(1-y)y-6 is y=(tan(-(sqrt(23)(x+c_{1}))/2)sqrt(23))/(2)+1/2