What is the solution for y^{''}+y=9sin(x) ?

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

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y^{''}+y=9sin(x)

y^{^{''}} + y = 9 sin (x)

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

Solution steps

y^{''} (x) + y = 9 sin (x)

Solve linear ODE:

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

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

40 ln (3 x + 1) - \frac{x}{3}

y^{^{''}} - 7 y^{^{'}} + 7 y = 0

\int 3 x - 5 d x

\int x^{2} e^{x^{3}} d x

\frac{d}{d x} (1 - 10 x)

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