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Popular >

x(dy)/(dx)+y=xy^2

Solution

x \frac{d y}{d x} + y = x y^{2}

Solution

y = \frac{1}{x ( - ln ( x ) + c _{1} )}

Solution steps

x \frac{d y}{d x} + y = x y^{2}

Solve Bernoulli ODE:

y = \frac{1}{x ( - ln ( x ) + c _{1} )}

y = \frac{1}{x ( - ln ( x ) + c _{1} )}

Popular Examples

derivative of 2x^3-4

\frac{d}{d x} (2 x^{3} - 4)

(\partial)/(\partial x)(3x-4t)

\frac{\partial}{\partial x} (3 x - 4 t)

derivative of 9/(x-7)derivative of

\frac{9}{x - 7}

integral of x/(sqrt(4x^2+9))

\int \frac{x}{4 x ^{2} + 9} d x

integral of sqrt(1+1/(x^2))

\int 1 + \frac{1}{x ^{2}} d x

Frequently Asked Questions (FAQ)

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