What is the solution for 9y^{''}+10y=0 ?

The solution for 9y^{''}+10y=0 is y=c_{1}cos((sqrt(10)t)/3)+c_{2}sin((sqrt(10)t)/3)

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9y^{''}+10y=0

9 y^{^{''}} + 10 y = 0

y = c_{1} cos (\frac{10 t}{3}) + c_{2} sin (\frac{10 t}{3})

Solution steps

9 y^{''} (t) + 10 y = 0

Solve linear ODE:

y = c_{1} cos (\frac{10 t}{3}) + c_{2} sin (\frac{10 t}{3})

y = c_{1} cos (\frac{10 t}{3}) + c_{2} sin (\frac{10 t}{3})

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\frac{d}{d x} (x^{2} e^{x} cos (2 x))

\frac{d}{d x} (- 6 cot (x) csc (x))

What is the solution for 9y^{''}+10y=0 ?
The solution for 9y^{''}+10y=0 is y=c_{1}cos((sqrt(10)t)/3)+c_{2}sin((sqrt(10)t)/3)