What is the solution for (dy)/(dx)6x^3sqrt(y)+2y=0 ?

The solution for (dy)/(dx)6x^3sqrt(y)+2y=0 is y= 1/(144x^4)+(c_{1}}{12x^2}+\frac{c_{1}^2)/4

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(dy)/(dx)6x^3sqrt(y)+2y=0

\frac{d y}{d x} 6 x^{3} y + 2 y = 0

y = \frac{1}{144 x ^{4}} + \frac{c _{1}}{12 x ^{2}} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} 6 x^{3} y + 2 y = 0

Solve separable ODE:

y = \frac{1}{144 x ^{4}} + \frac{c _{1}}{12 x ^{2}} + \frac{c _{1}^{2}}{4}

y = \frac{1}{144 x ^{4}} + \frac{c _{1}}{12 x ^{2}} + \frac{c _{1}^{2}}{4}

y^{^{'}} = 3 - 5 y

\frac{d y}{d x} = 0.2 \cdot + y + 200

6 y^{^{'}} + 9 y = 0

f^{^{'}} (x) - 2 f (x) (x^{2} e^{x}) = 0

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

What is the solution for (dy)/(dx)6x^3sqrt(y)+2y=0 ?
The solution for (dy)/(dx)6x^3sqrt(y)+2y=0 is y= 1/(144x^4)+(c_{1}}{12x^2}+\frac{c_{1}^2)/4