What is the solution for (dx)/(dt)=-(6x)/(20+2t) ?

The solution for (dx)/(dt)=-(6x)/(20+2t) is x=(c_{1})/(1000+300t+30t^2+t^3)

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(dx)/(dt)=-(6x)/(20+2t)

\frac{d x}{d t} = - \frac{6 x}{20 + 2 t}

x = \frac{c _{1}}{1000 + 300 t + 30 t ^{2} + t ^{3}}

Solution steps

\frac{d x}{d t} = - \frac{6 x}{20 + 2 t}

Solve separable ODE:

x = \frac{c _{1}}{1000 + 300 t + 30 t ^{2} + t ^{3}}

x = \frac{c _{1}}{1000 + 300 t + 30 t ^{2} + t ^{3}}

\frac{d}{d x} ((3 x^{2} + 1)^{3})

y = x^{3} - 3 x^{2} - x + 3, - 1 < x \leq 3

x \to 1 + lim (\frac{1}{2} x + 3)

x \to - 1 lim (sin (3 x) + 2)

\frac{d}{d x} (3 x^{4} - 12 x^{3})

What is the solution for (dx)/(dt)=-(6x)/(20+2t) ?
The solution for (dx)/(dt)=-(6x)/(20+2t) is x=(c_{1})/(1000+300t+30t^2+t^3)