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

The solution for x(dy)/(dx)+y= 5/(y^2) is y=(\sqrt[3]{-c_{1}+5x^3})/x

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

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

y = \frac{3 - c _{1} + 5 x ^{3}}{x}

Solution steps

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

Solve separable ODE:

y = \frac{3 - c _{1} + 5 x ^{3}}{x}

y = \frac{3 - c _{1} + 5 x ^{3}}{x}

\frac{d y}{d x} x^{2} + 4 x y = y

y^{^{'}} - y sin (3 x) = 0

d y = \frac{( y + 4 )}{x + 5} d x

\frac{d y}{d x} y = \frac{1 - 2 x ^{2}}{x ^{4} - 2 x ^{2} + 6}

y d x + (\frac{x - 1}{2 x ^{3} y}) d y = 0

What is the solution for x(dy)/(dx)+y= 5/(y^2) ?
The solution for x(dy)/(dx)+y= 5/(y^2) is y=(\sqrt[3]{-c_{1}+5x^3})/x