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

Lösung

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

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

Schritte zur Lösung

\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}

in v erse l a pl a ce \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 )})

d er i v a t i v e f (t) = 2 t sin (π t)

\int \frac{4 x ^{2} + 21 x + 54}{x ^{2} + 6 x + 13} d x