What is the solution for y^{''}+y=sin(2)(x) ?

The solution for y^{''}+y=sin(2)(x) is y=c_{1}cos(x)+c_{2}sin(x)+sin(2)x

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y^{''}+y=sin(2)(x)

y^{^{''}} + y = sin (2) (x)

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

Solution steps

y^{''} (x) + y = sin (2) (x)

Solve linear ODE:

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

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

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\frac{1}{x ^{19}}

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\int \frac{1}{( e ^{\frac{x}{a}} - e ^{- \frac{x}{a}} ) ^{- 2}} d x

\int e^{x} cos (6 x) d x

What is the solution for y^{''}+y=sin(2)(x) ?
The solution for y^{''}+y=sin(2)(x) is y=c_{1}cos(x)+c_{2}sin(x)+sin(2)x