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

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

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y=(\sqrt[3]{(1+3x^2)^2})/x (dy)/(dx)

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

y = e^{\frac{1}{2} (1 + 3 x^{2})^{\frac{1}{3}} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{1}{2} (1 + 3 x^{2})^{\frac{1}{3}} + c_{1}}

y = e^{\frac{1}{2} (1 + 3 x^{2})^{\frac{1}{3}} + c_{1}}

\frac{d y}{d t} y = 3 + csc (t^{6})

6 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = - 5

6 u z^{2} d u = u d z

y^{^{'}} = 4 y + b, y (0) = 1

\frac{d v}{d t} = 3 \frac{2}{9} v

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