What is the solution for derivative of 5x^2-y^3= derivative of 7 ?

The solution for derivative of 5x^2-y^3= derivative of 7 is y=\sqrt[3]{5x^2+c_{1}}

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derivative of 5x^2-y^3= derivative of 7

\frac{d}{d x} (5 x^{2} - y^{3}) = \frac{d}{d x} (7)

Solution steps

\frac{d}{d x} (5 x^{2} - y^{3}) = \frac{d}{d x} (7)

Solve separable ODE:

\frac{d v}{d t} = 9.56 - 0.1 v

2 x d x - y d y = 0, y = f (x)

y^{^{'}} = \frac{y}{x ^{2} - 4}

d y y^{- 2} = \frac{d x}{- x ^{2} + 144}

y = y^{^{'}} x

What is the solution for derivative of 5x^2-y^3= derivative of 7 ?
The solution for derivative of 5x^2-y^3= derivative of 7 is y=\sqrt[3]{5x^2+c_{1}}