What is the solution for y^{''}+9y=2x-5 ?

The solution for y^{''}+9y=2x-5 is y=c_{1}cos(3x)+c_{2}sin(3x)+(2x)/9-5/9

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y^{''}+9y=2x-5

y^{^{''}} + 9 y = 2 x - 5

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{2 x}{9} - \frac{5}{9}

Solution steps

y^{''} (x) + 9 y = 2 x - 5

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{2 x}{9} - \frac{5}{9}

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{2 x}{9} - \frac{5}{9}

What is the solution for y^{''}+9y=2x-5 ?
The solution for y^{''}+9y=2x-5 is y=c_{1}cos(3x)+c_{2}sin(3x)+(2x)/9-5/9