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

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

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(dy)/(dx)=-3xy^3

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

y = - \frac{1}{- 3 x ^{2} + c _{1}}, y = - - \frac{1}{- 3 x ^{2} + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{1}{- 3 x ^{2} + c _{1}}, y = - - \frac{1}{- 3 x ^{2} + c _{1}}

y = - \frac{1}{- 3 x ^{2} + c _{1}}, y = - - \frac{1}{- 3 x ^{2} + c _{1}}

x \to 1 lim (x^{2} - 3)

4 y^{^{''}} - 4 y^{^{'}} + 2 y = 0

\frac{x}{x - 1}

\int \frac{x}{e ^{7 x}} d x

x \to 1 lim (\frac{2}{5} x + 7)

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