What is the solution for 10y^{''}+1000y=170cos(8t) ?

The solution for 10y^{''}+1000y=170cos(8t) is y=c_{1}cos(10t)+c_{2}sin(10t)+17/36 cos(8t)

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10y^{''}+1000y=170cos(8t)

10 y^{^{''}} + 1000 y = 170 cos (8 t)

y = c_{1} cos (10 t) + c_{2} sin (10 t) + \frac{17}{36} cos (8 t)

Solution steps

10 y^{''} (t) + 1000 y = 170 cos (8 t)

Solve linear ODE:

y = c_{1} cos (10 t) + c_{2} sin (10 t) + \frac{17}{36} cos (8 t)

y = c_{1} cos (10 t) + c_{2} sin (10 t) + \frac{17}{36} cos (8 t)

\frac{\partial}{\partial x} (e^{x^{2} + 3 y^{2}})

\int x^{3} - 4 x^{2} + C d x

2 x^{2} + 2

\frac{3}{s ^{2}}

\int \frac{1}{cos ( 4 x )} d x

What is the solution for 10y^{''}+1000y=170cos(8t) ?
The solution for 10y^{''}+1000y=170cos(8t) is y=c_{1}cos(10t)+c_{2}sin(10t)+17/36 cos(8t)