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

The solution for y^2(dy)/(dx)=3x^2y^3-6x^2 is y=\sqrt[3]{e^{3x^3+c_{1}}+2}

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

y^{2} \frac{d y}{d x} = 3 x^{2} y^{3} - 6 x^{2}

y = 3 e^{3 x^{3} + c_{1}} + 2

Solution steps

y^{2} \frac{d y}{d x} = 3 x^{2} y^{3} - 6 x^{2}

Solve Bernoulli ODE:

y = 3 e^{3 x^{3} + c_{1}} + 2

y = 3 e^{3 x^{3} + c_{1}} + 2

\int sin^{5} (6 x) d x

sin (6 t)

f (x) = cos (7 x)

\frac{x ^{2}}{5 ( 1 - x )}

\frac{d}{d x} (cos (x t))

What is the solution for y^2(dy)/(dx)=3x^2y^3-6x^2 ?
The solution for y^2(dy)/(dx)=3x^2y^3-6x^2 is y=\sqrt[3]{e^{3x^3+c_{1}}+2}