What is the solution for x((dy)/(dx))+y= 1/(y^2) ?

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

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x((dy)/(dx))+y= 1/(y^2)

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

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

Solution steps

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

Solve separable ODE:

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

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

y = x x

\int \frac{1}{x ^{2}} (ln^{2} (x)) d x

x \to π lim (6)

\frac{d ^{2} Q}{d t ^{2}} - 7 \frac{d Q}{d t} + 5 Q = 0

\int \frac{cos ( t )}{1 + sin ^{2} ( t )} d t

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