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

The solution for (dy)/(dx)=x^2y^5 is y=\sqrt[4]{-3/(4(x^3+c_{1))}},y=-\sqrt[4]{-3/(4(x^3+c_{1))}}

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(dy)/(dx)=x^2y^5

\frac{d y}{d x} = x^{2} y^{5}

y = 4 - \frac{3}{4 ( x ^{3} + c _{1} )}, y = - 4 - \frac{3}{4 ( x ^{3} + c _{1} )}

Solution steps

\frac{d y}{d x} = x^{2} y^{5}

Solve separable ODE:

y = 4 - \frac{3}{4 ( x ^{3} + c _{1} )}, y = - 4 - \frac{3}{4 ( x ^{3} + c _{1} )}

y = 4 - \frac{3}{4 ( x ^{3} + c _{1} )}, y = - 4 - \frac{3}{4 ( x ^{3} + c _{1} )}

\frac{d}{d θ} (ln (y (θ))) = \frac{θ - 3}{θ cos ( θ )}

y^{^{'}} - 2 y = 3

y^{^{'}} = t y^{\frac{1}{2}}, y (0) = 0

\frac{d y}{y} = x^{13} d x

\frac{d y}{d x} y = 9 x + 7

What is the solution for (dy)/(dx)=x^2y^5 ?
The solution for (dy)/(dx)=x^2y^5 is y=\sqrt[4]{-3/(4(x^3+c_{1))}},y=-\sqrt[4]{-3/(4(x^3+c_{1))}}