What is the solution for (dy)/(dx)x^2y+xy^2=6 ?

The solution for (dy)/(dx)x^2y+xy^2=6 is y=(sqrt(12x+c_{1)})/x ,y=-(sqrt(12x+c_{1)})/x

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(dy)/(dx)x^2y+xy^2=6

\frac{d y}{d x} x^{2} y + x y^{2} = 6

y = \frac{12 x + c _{1}}{x}, y = - \frac{12 x + c _{1}}{x}

Solution steps

\frac{d y}{d x} x^{2} y + x y^{2} = 6

Solve Bernoulli ODE:

y = \frac{12 x + c _{1}}{x}, y = - \frac{12 x + c _{1}}{x}

y = \frac{12 x + c _{1}}{x}, y = - \frac{12 x + c _{1}}{x}

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What is the solution for (dy)/(dx)x^2y+xy^2=6 ?
The solution for (dy)/(dx)x^2y+xy^2=6 is y=(sqrt(12x+c_{1)})/x ,y=-(sqrt(12x+c_{1)})/x