What is the solution for y^{''}=a*y ?

The solution for y^{''}=a*y is y=c_{1}e^{sqrt(a)t}+c_{2}e^{-sqrt(a)t}

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y^{''}=a*y

y^{^{''}} = a \cdot y

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

Solution steps

y^{''} (t) = a \cdot y

Solve linear ODE:

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

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

(x^{2} - 6 x + 10) 25 - x^{2}

4 sec (x) tan (x)

y^{^{'}} = 3 x + y, y (0) = 3

\frac{d}{d x} (3 x sin (2 x))

\frac{1}{4 - x ^{2}}

What is the solution for y^{''}=a*y ?
The solution for y^{''}=a*y is y=c_{1}e^{sqrt(a)t}+c_{2}e^{-sqrt(a)t}