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Popular >

(dy)/(dt)=-ky

Solution

\frac{d y}{d t} = - k y

Solution

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

Solution steps

\frac{d y}{d t} = - k y (t)

Solve separable ODE:

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

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

Graph

Popular Examples

limit as x approaches-1 of-x^2+4x-5

x \to - 1 lim (- x^{2} + 4 x - 5)

derivative of (2x^2/((x^2+x)^3))

\frac{d}{d x} (\frac{2 x ^{2}}{( x ^{2} + x ) ^{3}})

tangent of f(x)=4x^2-2x+4,\at x=0 tangent of

f (x) = 4 x^{2} - 2 x + 4, at x = 0

tangent of 5-9+8x^2 tangent of

5 - 9 + 8 x^{2}

integral of sec^2(2x)tan^4(2x)

\int sec^{2} (2 x) tan^{4} (2 x) d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=-ky ?
The solution for (dy)/(dt)=-ky is y=e^{-kt+c_{1}}