What is the solution for (dy)/(dx)+3xy^3=0 ?

The solution for (dy)/(dx)+3xy^3=0 is y=sqrt(-1/(-3x^2+c_{1))},y=-sqrt(-1/(-3x^2+c_{1))}

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(dy)/(dx)+3xy^3=0

\frac{d y}{d x} + 3 x y^{3} = 0

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} = 0

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}}

What is the solution for (dy)/(dx)+3xy^3=0 ?
The solution for (dy)/(dx)+3xy^3=0 is y=sqrt(-1/(-3x^2+c_{1))},y=-sqrt(-1/(-3x^2+c_{1))}