What is the solution for x^2(dy)/(dx)-2xy=3y^4 ?

The solution for x^2(dy)/(dx)-2xy=3y^4 is y=(\sqrt[3]{5}x^2)/(\sqrt[3]{-9x^5+c_{1)}}

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x^2(dy)/(dx)-2xy=3y^4

x^{2} \frac{d y}{d x} - 2 x y = 3 y^{4}

Solution steps

x^{2} \frac{d y}{d x} - 2 x y = 3 y^{4}

Solve Bernoulli ODE:

\int \frac{5}{x} d x

\frac{d}{d x} (e^{(- x^{\frac{1}{2}} + \frac{1}{5} x^{- \frac{3}{5}})})

\int \frac{1}{( x ^{2} + 100 ) ^{2}} d x

\frac{d}{d y} (- 9 sin (3 x + y z))

x \to 0 lim (\frac{cos ^{2} ( x )}{x})

What is the solution for x^2(dy)/(dx)-2xy=3y^4 ?
The solution for x^2(dy)/(dx)-2xy=3y^4 is y=(\sqrt[3]{5}x^2)/(\sqrt[3]{-9x^5+c_{1)}}