What is the solution for y^'-5/x y=(y^5)/(x^3),y(1)=1 ?

The solution for y^'-5/x y=(y^5)/(x^3),y(1)=1 is y=(sqrt(3)x^5)/(\sqrt[4]{-2x^{18)+11}}

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y^'-5/x y=(y^5)/(x^3),y(1)=1

y^{^{'}} - \frac{5}{x} y = \frac{y ^{5}}{x ^{3}}, y (1) = 1

Solution steps

y^{'} (x) - \frac{5}{x} y = \frac{y ^{5}}{x ^{3}}

Solve Bernoulli ODE:

f (x) = (x^{2} - 5)^{2}

\int_{- 2}^{- 1} (15 x^{- 4}) d x

\int 3 x^{2} x^{3} + 2 d x

\int_{0}^{3} 3 x - 5 d x

\frac{d}{d x} ((x^{2} + 2)^{7})

What is the solution for y^'-5/x y=(y^5)/(x^3),y(1)=1 ?
The solution for y^'-5/x y=(y^5)/(x^3),y(1)=1 is y=(sqrt(3)x^5)/(\sqrt[4]{-2x^{18)+11}}