What is the solution for (dy)/(dx)=x^6y^{-3} ?

The solution for (dy)/(dx)=x^6y^{-3} is y=\sqrt[4]{(4x^7)/7+c_{1}},y=-\sqrt[4]{(4x^7)/7+c_{1}}

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(dy)/(dx)=x^6y^{-3}

\frac{d y}{d x} = x^{6} y^{- 3}

y = 4 \frac{4 x ^{7}}{7} + c_{1}, y = - 4 \frac{4 x ^{7}}{7} + c_{1}

Solution steps

\frac{d y}{d x} = x^{6} y^{- 3}

Solve separable ODE:

y = 4 \frac{4 x ^{7}}{7} + c_{1}, y = - 4 \frac{4 x ^{7}}{7} + c_{1}

y = 4 \frac{4 x ^{7}}{7} + c_{1}, y = - 4 \frac{4 x ^{7}}{7} + c_{1}

t^{2} \frac{d y}{d t} - t = 1 + y + t y, y (1) = 5

\int 24 arctan (x) d x

\int sec^{6} (2 x) tan (2 x) d x

in v erse l a pl a ce \frac{s + 1}{s ( s ^{2} + s + 1 )}

\int_{0}^{1} 2 x - 3 d x

What is the solution for (dy)/(dx)=x^6y^{-3} ?
The solution for (dy)/(dx)=x^6y^{-3} is y=\sqrt[4]{(4x^7)/7+c_{1}},y=-\sqrt[4]{(4x^7)/7+c_{1}}