What is the solution for x^2(dy)/(dx)+2xy=5y^3 ?

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

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x^2(dy)/(dx)+2xy=5y^3

x^{2} \frac{d y}{d x} + 2 x y = 5 y^{3}

y = \frac{x}{2 + c _{1} x ^{5}}, y = - \frac{x}{2 + c _{1} x ^{5}}

Solution steps

x^{2} \frac{d y}{d x} + 2 x y = 5 y^{3}

Solve Bernoulli ODE:

y = \frac{x}{2 + c _{1} x ^{5}}, y = - \frac{x}{2 + c _{1} x ^{5}}

y = \frac{x}{2 + c _{1} x ^{5}}, y = - \frac{x}{2 + c _{1} x ^{5}}

\frac{d}{d x} (6 ln (x^{2}))

\int x \cdot tan^{2} (x) d x

x \to 0 lim (3 x + 1)

\frac{y ^{^{'}} - e ^{- t} + 3}{y} = - 3

n \to \infty lim (i = 1 \sum n (1 + \frac{2 i}{n})^{3} (\frac{2}{n}))

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