What is the solution for (dy)/(dx)=(10+19x)/(xy^2) ?

The solution for (dy)/(dx)=(10+19x)/(xy^2) is y=\sqrt[3]{30ln(x)+57x+c_{1}}

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(dy)/(dx)=(10+19x)/(xy^2)

\frac{d y}{d x} = \frac{10 + 19 x}{x y ^{2}}

y = 3 30 ln (x) + 57 x + c_{1}

Solution steps

\frac{d y}{d x} = \frac{10 + 19 x}{x y ^{2}}

Solve separable ODE:

y = 3 30 ln (x) + 57 x + c_{1}

y = 3 30 ln (x) + 57 x + c_{1}

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

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

y^{^{'}} = \frac{x e ^{x + y}}{y}

\frac{d y}{d x} = (y (1 - y))

(t^{2} - 6 t + 5) y^{^{'}} = y

What is the solution for (dy)/(dx)=(10+19x)/(xy^2) ?
The solution for (dy)/(dx)=(10+19x)/(xy^2) is y=\sqrt[3]{30ln(x)+57x+c_{1}}