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Popular >

y^{''}=k^2y

Solution

y^{^{''}} = k^{2} y

Solution

y = c_{1} e^{k t} + c_{2} e^{- k t}

Solution steps

y^{''} (t) = k^{2} y

Solve linear ODE:

y = c_{1} e^{k t} + c_{2} e^{- k t}

y = c_{1} e^{k t} + c_{2} e^{- k t}

Popular Examples

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\frac{d}{d x} (\frac{1 - x}{2 + x})

derivative of (x+e^{2x}^3)

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

integral of (sec(x))^3

\int (sec (x))^{3} d x

derivative of (7x)/(2^x)derivative of

\frac{7 x}{2 ^{x}}

slope ofintercept (-8,-4),(-6,-1)slope intercept

(- 8, - 4), (- 6, - 1)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}=k^2y ?
The solution for y^{''}=k^2y is y=c_{1}e^{kt}+c_{2}e^{-kt}