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Popular >

y^'=-ay

Solution

y^{^{'}} = - a y

Solution

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

Solution steps

y^{'} (t) = - a y (t)

Solve separable ODE:

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

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

Popular Examples

derivative of x^ay^{1-a}

\frac{d}{d x} (x^{a} y^{1 - a})

limit as x approaches 0 of arctan(5x)

x \to 0 lim (arctan (5 x))

d/(dt)((ln(t))^2)

\frac{d}{d t} ((ln (t))^{2})

slope of (1,-1),(6,-1)slope

(1, - 1), (6, - 1)

integral from 6 to 8 of (92)/((x-6)^3)

\int_{6}^{8} \frac{92}{( x - 6 ) ^{3}} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=-ay ?
The solution for y^'=-ay is y=e^{-at+c_{1}}