What is the solution for 4x-2y(dy)/(dx)(y)=0 ?

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

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4x-2y(dy)/(dx)(y)=0

4 x - 2 y \frac{d y}{d x} (y) = 0

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

Solution steps

4 x - 2 y \frac{d y}{d x} (y) = 0

Solve separable ODE:

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

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

\frac{d y}{d x} = \frac{1 + y}{x - 1}

\frac{df}{d x} - x f (x) = 0

(2 x y^{4} + 2 x y^{2}) d x + (x^{2} y^{3} + x^{2} y) d y = 0

(1 + y^{2}) d x = (y - 1 + y^{2}) (1 + x^{2})^{\frac{3}{2}} d y

\frac{d y}{d t} = 5 + 5 y + t + t y, y (0) = 3

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