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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

\int \frac{1}{x ^{3} + x ^{2} + x + 1} d x

\int_{0}^{1} π (x^{2} - x^{4}) d x

\frac{\partial}{\partial x} (y \cdot arcsin (\frac{x}{y}))

6 t^{2} - t

f (x) = x^{2} tan (x)

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