What is the solution for xy^2(x(dy)/(dx)+y)=9 ?

The solution for xy^2(x(dy)/(dx)+y)=9 is y=(\sqrt[3]{27x^2+c_{1}})/(\sqrt[3]{2)x}

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xy^2(x(dy)/(dx)+y)=9

x y^{2} (x \frac{d y}{d x} + y) = 9

y = \frac{3 27 x ^{2} + c _{1}}{3 2 x}

Solution steps

x y^{2} (x \frac{d y}{d x} + y) = 9

Solve Bernoulli ODE:

y = \frac{3 27 x ^{2} + c _{1}}{3 2 x}

y = \frac{3 27 x ^{2} + c _{1}}{3 2 x}

x \to 5 + lim (ln (x - 5))

\frac{d}{d x} (\frac{2 ^{x}}{3 x - 1})

\int \frac{4 x + 7}{( 3 x + 2 ) ( x - 5 )} d x

\int x^{2} ln (8 x) d x

\frac{d}{d x} (6 - 2 x)

What is the solution for xy^2(x(dy)/(dx)+y)=9 ?
The solution for xy^2(x(dy)/(dx)+y)=9 is y=(\sqrt[3]{27x^2+c_{1}})/(\sqrt[3]{2)x}