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Popular >

x^{''}=k^2x

Solution

x^{^{''}} = k^{2} x

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

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