What is the solution for (dy)/(dx)=-6(y^2-y) ?

The solution for (dy)/(dx)=-6(y^2-y) is y=(e^{6x})/(e^{6x)-c_{1}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=-6(y^2-y)

\frac{d y}{d x} = - 6 (y^{2} - y)

y = \frac{e ^{6 x}}{e ^{6 x} - c _{1}}

Solution steps

\frac{d y}{d x} = - 6 (y^{2} - y)

Solve separable ODE:

y = \frac{e ^{6 x}}{e ^{6 x} - c _{1}}

y = \frac{e ^{6 x}}{e ^{6 x} - c _{1}}

\frac{2 ln ( 2 x )}{2 - 3 x}

\frac{d}{d x} ((x^{2} + y^{2})^{\frac{2}{3}})

f (x) = ln (x^{3} + 5 x + 3)

(2 x + 3) \frac{d y}{d x} = y + (2 x + 3)^{\frac{1}{2}}

y = - \frac{4}{5 x ^{5}} + \frac{15}{4 x ^{4}}

What is the solution for (dy)/(dx)=-6(y^2-y) ?
The solution for (dy)/(dx)=-6(y^2-y) is y=(e^{6x})/(e^{6x)-c_{1}}