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

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

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(dy)/(dx)=(4x)/(y^2)

\frac{d y}{d x} = \frac{4 x}{y ^{2}}

y = 3 6 x^{2} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{4 x}{y ^{2}}

Solve separable ODE:

y = 3 6 x^{2} + c_{1}

y = 3 6 x^{2} + c_{1}

y^{^{'}} = \frac{2 y ^{4} + 2}{4 x y ^{3}}

y^{^{'}} = y + 5, y (0) = 11 e^{x} - 5

\frac{d y}{d x} = e^{(6 y + 7 x)}, y (0) = 15

50 y^{^{'}} + 20 y^{^{'}} + y = 5000

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

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