What is the solution for (dy)/(dx)=3x^3y^5,y(2)=-6 ?

The solution for (dy)/(dx)=3x^3y^5,y(2)=-6 is y=-\sqrt[4]{-(1296)/(3888x^4-62209)}

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(dy)/(dx)=3x^3y^5,y(2)=-6

\frac{d y}{d x} = 3 x^{3} y^{5}, y (2) = - 6

y = - 4 - \frac{1296}{3888 x ^{4} - 62209}

Solution steps

\frac{d y}{d x} = 3 x^{3} y^{5}

Solve separable ODE:

y = - 4 - \frac{1296}{3888 x ^{4} - 62209}

y = - 4 - \frac{1296}{3888 x ^{4} - 62209}

\frac{d x}{d t} = 15 - \frac{13 x}{50}

y y^{^{'}} = 2 t^{3}, y (0) = 2

\frac{d x}{d t} = \frac{- 2 x}{30 + t}

y^{^{'}} - x y = 2 x y^{\frac{- 1}{2}}

3 y^{2} (x - 3) \frac{d y}{d x} = k

What is the solution for (dy)/(dx)=3x^3y^5,y(2)=-6 ?
The solution for (dy)/(dx)=3x^3y^5,y(2)=-6 is y=-\sqrt[4]{-(1296)/(3888x^4-62209)}