What is the solution for (((y*dx))/x)+dy=(3x^2)*(y^2)*dx ?

The solution for (((y*dx))/x)+dy=(3x^2)*(y^2)*dx is y=-2/(2x^3-3x^2+6x-6ln(1+x)+c_{1)+11}

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(((ydx))/x)+dy=(3x^2)(y^2)*dx

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

y = - \frac{2}{2 x ^{3} - 3 x ^{2} + 6 x - 6 ln ( 1 + x ) + c _{1} + 11}

Solution steps

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

Solve separable ODE:

y = - \frac{2}{2 x ^{3} - 3 x ^{2} + 6 x - 6 ln ( 1 + x ) + c _{1} + 11}

y = - \frac{2}{2 x ^{3} - 3 x ^{2} + 6 x - 6 ln ( 1 + x ) + c _{1} + 11}

\frac{d x}{d t} = 9 x t^{6}

\frac{d v}{d t} = g - k v (t), v (0) = 0

y^{^{'}} - 0.06 y = 100

y^{^{'}} = 6 x^{2} y^{2}

\frac{d y}{d x} + y sec (x) = sec (x)

What is the solution for (((y*dx))/x)+dy=(3x^2)*(y^2)*dx ?
The solution for (((y*dx))/x)+dy=(3x^2)*(y^2)*dx is y=-2/(2x^3-3x^2+6x-6ln(1+x)+c_{1)+11}