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Popular >

(dx)/(dt)=-ax

Solution

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

Solution

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

Solution steps

\frac{d x}{d t} = - a x (t)

Solve separable ODE:

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

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

Popular Examples

integral from 3 to 7 of x/(x^2-2)

\int_{3}^{7} \frac{x}{x ^{2} - 2} d x

tangent of y=x^2-5x+5(0.5)tangent of

y = x^{2} - 5 x + 5 (0.5)

derivative of F(s)=ln(ln(6s))derivative of

F (s) = ln (ln (6 s))

integral from 0 to pi/2 of sec(x)

\int_{0}^{\frac{π}{2}} sec (x) d x

limit as t approaches 0 of (tan(10t))/(sin(2t))

t \to 0 lim (\frac{tan ( 10 t )}{sin ( 2 t )})

Frequently Asked Questions (FAQ)

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