What is the solution for y^'+y=xy^3,y(1)= 1/(sqrt(2)) ?

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

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y^'+y=xy^3,y(1)= 1/(sqrt(2))

y^{^{'}} + y = x y^{3}, y (1) = \frac{1}{2}

y = \frac{2}{2 x + 1 + e ^{2 (x - 1)}}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{2}{2 x + 1 + e ^{2 (x - 1)}}

y = \frac{2}{2 x + 1 + e ^{2 (x - 1)}}

\int 12 y^{2} d y

l a pl a ce t r an s f or m 5 t

d er i v a t i v e e^{x^{2}} + x^{3}

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

\int - cos (\frac{nπ x}{2}) d x

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