What is the solution for x(dy)/(dx)+xy^2=xy ?

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

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

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

y = - \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}}

Solution steps

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

Solve separable ODE:

y = - \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}}

y = - \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}}

\int sin^{2} (2 x + 5) d x

t an g e n t f (x) = 3 x + 7, (3, 4)

in v erse l a pl a ce \frac{1}{s ( s ^{2} + 2 s + 2 )}

e x p an d (x - 2)^{2} (x + 4)

t a y l or x^{\frac{9}{6}}, 2

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