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Popular >

(dx)/(dt)=-x

Solution

\frac{d x}{d t} = - x

Solution

x = e^{- t + c_{1}}

Solution steps

\frac{d x}{d t} = - x

Solve separable ODE:

x = e^{- t + c_{1}}

x = e^{- t + c_{1}}

Popular Examples

derivative of y=xβ+e derivative of

y = x β + e

derivative of ((x+5/(x^2+2))^2)

\frac{d}{d x} ((\frac{x + 5}{x ^{2} + 2})^{2})

limit as x approaches 1+of sqrt(x-1)

x \to 1 + lim (x - 1)

limit as x approaches 0+of e^{1/x ln(x)}

x \to 0 + lim (e^{\frac{1}{x} l n (x)})

integral from 0 to 1 of (7y)/(e^{2y)}

\int_{0}^{1} \frac{7 y}{e ^{2 y}} d y

Frequently Asked Questions (FAQ)

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