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Popular >

(dy)/(dx)=y*(1/x-y)

Solution

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

Solution

y = \frac{2 x}{x ^{2} + c _{1}}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{2 x}{x ^{2} + c _{1}}

y = \frac{2 x}{x ^{2} + c _{1}}

Popular Examples

(\partial)/(\partial u)(sqrt(v/u))

\frac{\partial}{\partial u} (\frac{v}{u})

derivative of ln(sqrt((9-x/(5+x))))

\frac{d}{d x} (ln (\frac{9 - x}{5 + x}))

derivative of-9x^2 derivative of

- 9 x^{2}

derivative of arccos(cos(x))

\frac{d}{d x} (arccos (cos (x)))

implicit (dy)/(dx),sqrt(xy)=x-2y implicit derivative

\frac{d y}{d x}, x y = x - 2 y

Frequently Asked Questions (FAQ)

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