What is the solution for (dx)/(dt)=(457.8-7x)/(2180) ?

The solution for (dx)/(dt)=(457.8-7x)/(2180) is x=-(e^{-0.00321…t-c_{1}})/7+(457.8)/7

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(dx)/(dt)=(457.8-7x)/(2180)

\frac{d x}{d t} = \frac{457.8 - 7 x}{2180}

x = - \frac{e ^{- 0.00321 \dots t - c_{1}}}{7} + \frac{457.8}{7}

Solution steps

\frac{d x}{d t} = \frac{457.8 - 7 x}{2180}

Solve separable ODE:

x = - \frac{e ^{- 0.00321 \dots t - c_{1}}}{7} + \frac{457.8}{7}

x = - \frac{e ^{- 0.00321 \dots t - c_{1}}}{7} + \frac{457.8}{7}

(1 - e^{x^{3}})^{5}

x \to 1 - lim (x^{2} - 2)

y = \frac{x ^{2} - 1}{x ^{2} + x + 1}, (1, 0)

y^{^{''}} + 4 y^{^{'}} + 5 y = cos (2 x)

\frac{1}{( x ^{2} + 1 ) \cdot x}

What is the solution for (dx)/(dt)=(457.8-7x)/(2180) ?
The solution for (dx)/(dt)=(457.8-7x)/(2180) is x=-(e^{-0.00321…t-c_{1}})/7+(457.8)/7