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Popular >

y'=(xy+y^2)/(x^2)

Solution

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

Solution

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

Solution steps

y^{'} (x) = \frac{x y + y ^{2}}{x ^{2}}

Solve Bernoulli ODE:

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

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

Popular Examples

integral of (e^{3x})/(4-9e^{6x)}

\int \frac{e ^{3 x}}{4 - 9 e ^{6 x}} d x

y^{^{'}} - \frac{y}{x} = y^{2}

sqrt(xy)((dy)/(dx))=3

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

integral from 1 to 4 of (5ln(x))/(x^2)

\int_{1}^{4} \frac{5 ln ( x )}{x ^{2}} d x

derivative of 1-e^{-x}-xe^{-x}

\frac{d}{d x} (1 - e^{- x} - x e^{- x})

Frequently Asked Questions (FAQ)

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