What is the solution for y^{''}+30y=0 ?

The solution for y^{''}+30y=0 is y=c_{1}cos(sqrt(30)t)+c_{2}sin(sqrt(30)t)

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y^{''}+30y=0

y^{^{''}} + 30 y = 0

y = c_{1} cos (30 t) + c_{2} sin (30 t)

Solution steps

y^{''} (t) + 30 y = 0

Solve linear ODE:

y = c_{1} cos (30 t) + c_{2} sin (30 t)

y = c_{1} cos (30 t) + c_{2} sin (30 t)

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What is the solution for y^{''}+30y=0 ?
The solution for y^{''}+30y=0 is y=c_{1}cos(sqrt(30)t)+c_{2}sin(sqrt(30)t)