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Popular >

y^'=-ky

Solution

y^{^{'}} = - k y

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

integral of (\sqrt[3]{y})^2

derivative of arctan(x/5)derivative of

arctan (\frac{x}{5})

integral from-1 to 0 of 1/(x^3)

\int_{- 1}^{0} \frac{1}{x ^{3}} d x

derivative of (1/(x^2-6/(x^4))(x+8x^3))

\frac{d}{d x} ((\frac{1}{x ^{2}} - \frac{6}{x ^{4}}) (x + 8 x^{3}))

limit as x approaches 1 of 0/(x^2-1)

x \to 1 lim (\frac{0}{x ^{2} - 1})

Frequently Asked Questions (FAQ)

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