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Popular Calculus >

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

Solution

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

Solution

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

Solution steps

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

Solve Bernoulli ODE:

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

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

Graph

Popular Examples

y^{^{'}} = 1 + (\frac{y}{x})

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d er i v a t i v e f (x) = 1 + x^{256} - 1

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\frac{d}{d x} (2 x 36 - x^{2})

(\partial)/(\partial y)(x^2y-x-xy^2+y)

\frac{\partial}{\partial y} (x^{2} y - x - x y^{2} + y)

derivative of 18^x

\frac{d}{d x} (1 8^{x})

Frequently Asked Questions (FAQ)

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