What is the solution for y^{''}+1/2 y=0 ?

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

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y^{''}+1/2 y=0

y^{^{''}} + \frac{1}{2} y = 0

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

Solution steps

y^{''} (t) + \frac{1}{2} y = 0

Solve linear ODE:

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

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

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