What is the solution for y^{''}+1500y=320 ?

The solution for y^{''}+1500y=320 is y=c_{1}cos(10sqrt(15)t)+c_{2}sin(10sqrt(15)t)+16/75

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y^{''}+1500y=320

y^{^{''}} + 1500 y = 320

y = c_{1} cos (1015 t) + c_{2} sin (1015 t) + \frac{16}{75}

Solution steps

y^{''} (t) + 1500 y = 320

Solve linear ODE:

y = c_{1} cos (1015 t) + c_{2} sin (1015 t) + \frac{16}{75}

y = c_{1} cos (1015 t) + c_{2} sin (1015 t) + \frac{16}{75}

f (x) = ln (18)

\int cos (x) sin (sin (x)) d x

y = 6 cos (π x), y = 8 x^{2} - 2, - 0.5, 0.5

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

\int sin (ln (13 x)) d x

What is the solution for y^{''}+1500y=320 ?
The solution for y^{''}+1500y=320 is y=c_{1}cos(10sqrt(15)t)+c_{2}sin(10sqrt(15)t)+16/75