What is the solution for y^{''}+5y=(x) ?

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

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y^{''}+5y=(x)

y^{^{''}} + 5 y = (x)

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

Solution steps

y^{''} (x) + 5 y = (x)

Solve linear ODE:

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

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

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