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Popular >

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

Solution

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

Solution

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

Solution steps

\frac{d y}{d x} = y (\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 x)(3y-7)

\frac{\partial}{\partial x} (3 y - 7)

y^'=(t+y)^2-1,y(3)=4

y^{^{'}} = (t + y)^{2} - 1, y (3) = 4

integral of sqrt(z)(z^2-1/(4z))

\int z (z^{2} - \frac{1}{4 z}) d z

integral from 0 to 1 of xe^{x^2}

\int_{0}^{1} x e^{x^{2}} d x

integral of (ln^5(x))/x

\int \frac{ln ^{5} ( x )}{x} d x

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)}