What is the solution for (dx)/(dt)=-300*x/(10^8) ?

The solution for (dx)/(dt)=-300*x/(10^8) is x=e^{(-3t-c_{1})/(1000000)}

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(dx)/(dt)=-300*x/(10^8)

\frac{d x}{d t} = - 300 \cdot \frac{x}{1 0 ^{8}}

x = e^{\frac{- 3 t - c _{1}}{1000000}}

Solution steps

\frac{d x}{d t} = - 300 \cdot \frac{x}{1 0 ^{8}}

Solve separable ODE:

x = e^{\frac{- 3 t - c _{1}}{1000000}}

x = e^{\frac{- 3 t - c _{1}}{1000000}}

y^{^{'}} + \frac{x}{1 + x ^{2}} \cdot y = \frac{2 x}{1 + x ^{2}}

\frac{d y}{d x} + 9 x y = 8 x, y (0) = 2

\frac{d y}{d x} + 9 x y = 8 x, y (0) = 5

x^{^{'}} = a x (1 - \frac{x}{k})

y^{^{'}} sin^{2} (x) = cos (x) (1 - 3 y)

What is the solution for (dx)/(dt)=-300*x/(10^8) ?
The solution for (dx)/(dt)=-300*x/(10^8) is x=e^{(-3t-c_{1})/(1000000)}