What is the solution for (dx)/(dt)=((6x)/(2000+12t)) ?

The solution for (dx)/(dt)=((6x)/(2000+12t)) is x=c_{1}sqrt(3t+500)

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(dx)/(dt)=((6x)/(2000+12t))

\frac{d x}{d t} = (\frac{6 x}{2000 + 12 t})

x = c_{1} 3 t + 500

Solution steps

\frac{d x}{d t} = (\frac{6 x}{2000 + 12 t})

Solve separable ODE:

x = c_{1} 3 t + 500

x = c_{1} 3 t + 500

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What is the solution for (dx)/(dt)=((6x)/(2000+12t)) ?
The solution for (dx)/(dt)=((6x)/(2000+12t)) is x=c_{1}sqrt(3t+500)