What is the solution for y^{''}-ay=0 ?

The solution for y^{''}-ay=0 is y=c_{1}e^{sqrt(a)t}+c_{2}e^{-sqrt(a)t}

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y^{''}-ay=0

y^{^{''}} - a y = 0

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

Solution steps

y^{''} (t) - a y (t) = 0

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}

\int_{1}^{2} x e^{- x^{2}} d x

(0, 0), (- 5, 3)

\int csc^{2} (\frac{x}{2}) d x

\frac{s + 5}{s ^{2} + 4 s + 3}

\frac{d}{d x} (e^{x} + c)

What is the solution for y^{''}-ay=0 ?
The solution for y^{''}-ay=0 is y=c_{1}e^{sqrt(a)t}+c_{2}e^{-sqrt(a)t}