What is the solution for 12x^3-3y^2sqrt(x^4+1)(dy)/(dx)=0 ?

The solution for 12x^3-3y^2sqrt(x^4+1)(dy)/(dx)=0 is y=\sqrt[3]{6sqrt(x^4+1)+c_{1}}

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12x^3-3y^2sqrt(x^4+1)(dy)/(dx)=0

12 x^{3} - 3 y^{2} x^{4} + 1 \frac{d y}{d x} = 0

Solution steps

12 x^{3} - 3 y^{2} x^{4} + 1 \frac{d y}{d x} = 0

Solve separable ODE:

\frac{\partial}{\partial x} (cos^{5} (x^{3} y^{8}))

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

f (x) = x^{2} (3 - x)^{2}

x \to - 1 lim (∣ x ∣ - 3)

\int \frac{8}{x ( x + 2 ) ^{3}} d x

What is the solution for 12x^3-3y^2sqrt(x^4+1)(dy)/(dx)=0 ?
The solution for 12x^3-3y^2sqrt(x^4+1)(dy)/(dx)=0 is y=\sqrt[3]{6sqrt(x^4+1)+c_{1}}