What is the solution for (dy)/(dx)=2xy^2+(5y^2)/(sqrt(x)) ?

The solution for (dy)/(dx)=2xy^2+(5y^2)/(sqrt(x)) is y=-1/(x^2+10sqrt(x)+c_{1)}

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(dy)/(dx)=2xy^2+(5y^2)/(sqrt(x))

\frac{d y}{d x} = 2 x y^{2} + \frac{5 y ^{2}}{x}

y = - \frac{1}{x ^{2} + 10 x + c _{1}}

Solution steps

\frac{d y}{d x} = 2 x y^{2} + \frac{5 y ^{2}}{x}

Solve separable ODE:

y = - \frac{1}{x ^{2} + 10 x + c _{1}}

y = - \frac{1}{x ^{2} + 10 x + c _{1}}

\frac{d y}{d x} y = ln (ln (x^{5}))

y^{^{'}} = - 3 x^{2} (y + 2), y (1) = - 1

\frac{d y}{d x} = (1 + y)

\frac{d y}{d x} = 3 x y^{2} - 2 y^{2}

\frac{d p}{d t} = \frac{p - 900}{2}

What is the solution for (dy)/(dx)=2xy^2+(5y^2)/(sqrt(x)) ?
The solution for (dy)/(dx)=2xy^2+(5y^2)/(sqrt(x)) is y=-1/(x^2+10sqrt(x)+c_{1)}