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

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

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(dy)/(dx)=(3x^2)/(y^2)

\frac{d y}{d x} = \frac{3 x ^{2}}{y ^{2}}

y = 3 3 x^{3} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{3 x ^{2}}{y ^{2}}

Solve separable ODE:

y = 3 3 x^{3} + c_{1}

y = 3 3 x^{3} + c_{1}

6 x^{2} + 5 x + 8, at x = 4

x \to 4 lim (x^{3} + 6 x)

x \to 2 lim (3 cos (x))

f (x) = x^{2} cos (\frac{1}{x})

(1 - 2 x)^{- 2}

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