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

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

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

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

y = - \frac{2 x ^{3}}{x + 3} + \frac{c _{1}}{x + 3}

Solution steps

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

Solve linear ODE:

y = - \frac{2 x ^{3}}{x + 3} + \frac{c _{1}}{x + 3}

y = - \frac{2 x ^{3}}{x + 3} + \frac{c _{1}}{x + 3}

x \to 3 - lim (h (x))

f (x) = 6 x

\int_{0}^{1} \frac{x + 1}{x ^{2} + 2 x - 3} d x

\frac{d}{d x} (a x^{2} (x - 4) + b x^{4} ln (\frac{x}{4}))

\int x^{4} ln (x^{5}) d x

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