What is the solution for y^{''}=sin(3x-pi/3) ?

The solution for y^{''}=sin(3x-pi/3) is y= 1/(6sqrt(3))cos(3x)-1/18 sin(3x)+c_{1}x+c_{2}

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y^{''}=sin(3x-pi/3)

y^{^{''}} = sin (3 x - \frac{π}{3})

y = \frac{1}{6 3} cos (3 x) - \frac{1}{18} sin (3 x) + c_{1} x + c_{2}

Solution steps

y^{''} (x) = sin (3 x - \frac{π}{3})

Solve

y^{''} (x) = sin (3 x - \frac{π}{3}) : y^{'} (x) = - \frac{1}{2 3} sin (3 x) - \frac{1}{6} cos (3 x) + c_{1}

Solve

y^{'} (x) = - \frac{1}{2 3} sin (3 x) - \frac{1}{6} cos (3 x) + c_{1} : y = \frac{1}{6 3} cos (3 x) - \frac{1}{18} sin (3 x) + c_{1} x + c_{2}

y = \frac{1}{6 3} cos (3 x) - \frac{1}{18} sin (3 x) + c_{1} x + c_{2}

7 e^{- 4 x}

\int \frac{( e ^{x} + 9 )}{e ^{2 x} - 6 e ^{x} + 9} d x

f (x) = x^{2} + 3, (- 3, 12)

\frac{\partial}{\partial x} (f (x, y) (x + y))

y^{^{''}} + y = 0, y (0) = 0, y^{^{'}} (0) = 1

What is the solution for y^{''}=sin(3x-pi/3) ?
The solution for y^{''}=sin(3x-pi/3) is y= 1/(6sqrt(3))cos(3x)-1/18 sin(3x)+c_{1}x+c_{2}