What is the solution for (dy)/(dx)=(10+12x)/(xy^2) ?

The solution for (dy)/(dx)=(10+12x)/(xy^2) is y=\sqrt[3]{30ln(x)+36x+c_{1}}

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(dy)/(dx)=(10+12x)/(xy^2)

\frac{d y}{d x} = \frac{10 + 12 x}{x y ^{2}}

y = 3 30 ln (x) + 36 x + c_{1}

Solution steps

\frac{d y}{d x} = \frac{10 + 12 x}{x y ^{2}}

Solve separable ODE:

y = 3 30 ln (x) + 36 x + c_{1}

y = 3 30 ln (x) + 36 x + c_{1}

\frac{d v}{d t} = 60 - \frac{8}{100} v

csc^{3} (x) \frac{d y}{d x} = cos^{2} (y)

y^{^{'}} = - e^{- x} y

0 = \frac{y + x \frac{d y}{d x}}{2 - x y}

3 y^{^{'}} + 2 y = 7, y (0) = 2

What is the solution for (dy)/(dx)=(10+12x)/(xy^2) ?
The solution for (dy)/(dx)=(10+12x)/(xy^2) is y=\sqrt[3]{30ln(x)+36x+c_{1}}