What is the solution for x^{''}+x/a =0 ?

The solution for x^{''}+x/a =0 is x=c_{1}cos(sqrt(1/a)t)+c_{2}sin(sqrt(1/a)t)

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x^{''}+x/a =0

x^{^{''}} + \frac{x}{a} = 0

x = c_{1} cos (\frac{1}{a} t) + c_{2} sin (\frac{1}{a} t)

Solution steps

x^{''} (t) + \frac{x}{a} = 0

Solve linear ODE:

x = c_{1} cos (\frac{1}{a} t) + c_{2} sin (\frac{1}{a} t)

x = c_{1} cos (\frac{1}{a} t) + c_{2} sin (\frac{1}{a} t)

9 y^{^{''}} - 2 y^{^{'}} - 7 y = 0

15 y^{^{''}} + 26 y^{^{'}} + 7 y = 0, y (0) = 8, y^{^{'}} (0) = 1

y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = - 2

10 y^{^{''''}} + 13 y^{^{''}} + 4 y = 0

y^{^{''}} - 4 y^{^{'}} + 5 y = 0, y (0) = 2, y^{^{'}} (0) = 1

What is the solution for x^{''}+x/a =0 ?
The solution for x^{''}+x/a =0 is x=c_{1}cos(sqrt(1/a)t)+c_{2}sin(sqrt(1/a)t)