What is the solution for y^{''}+4y=5x+16 ?

The solution for y^{''}+4y=5x+16 is y=c_{1}cos(2x)+c_{2}sin(2x)+(5x)/4+4

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y^{''}+4y=5x+16

y^{^{''}} + 4 y = 5 x + 16

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{5 x}{4} + 4

Solution steps

y^{''} (x) + 4 y = 5 x + 16

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{5 x}{4} + 4

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{5 x}{4} + 4

What is the solution for y^{''}+4y=5x+16 ?
The solution for y^{''}+4y=5x+16 is y=c_{1}cos(2x)+c_{2}sin(2x)+(5x)/4+4