What is the solution for y^'+y=5xy^3 ?

The solution for y^'+y=5xy^3 is y=sqrt(2/(10x+5+2c_{1)e^{2x)}},y=-sqrt(2/(10x+5+2c_{1)e^{2x)}}

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y^'+y=5xy^3

y^{^{'}} + y = 5 x y^{3}

y = \frac{2}{10 x + 5 + 2 c _{1} e ^{2 x}}, y = - \frac{2}{10 x + 5 + 2 c _{1} e ^{2 x}}

Solution steps

y^{'} (x) + y = 5 x y^{3}

Solve Bernoulli ODE:

y = \frac{2}{10 x + 5 + 2 c _{1} e ^{2 x}}, y = - \frac{2}{10 x + 5 + 2 c _{1} e ^{2 x}}

y = \frac{2}{10 x + 5 + 2 c _{1} e ^{2 x}}, y = - \frac{2}{10 x + 5 + 2 c _{1} e ^{2 x}}

\int \frac{1}{1 - t} d t

x \to 1 lim (e^{x^{5} - x})

f^{^{'}} (x) = \frac{( 6 tan ( x ) + 2 )}{sec ( x )}

n = 0 \sum \infty 2 n^{2} + 1

(e^{t} sin (t))^{^{'}}

What is the solution for y^'+y=5xy^3 ?
The solution for y^'+y=5xy^3 is y=sqrt(2/(10x+5+2c_{1)e^{2x)}},y=-sqrt(2/(10x+5+2c_{1)e^{2x)}}