What is the solution for y^{''}+1.44y=24cos(1.2x) ?

The solution for y^{''}+1.44y=24cos(1.2x) is y=c_{1}cos((6x)/5)+c_{2}sin((6x)/5)+10xsin(1.2x)

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y^{''}+1.44y=24cos(1.2x)

y^{^{''}} + 1.44 y = 24 cos (1.2 x)

y = c_{1} cos (\frac{6 x}{5}) + c_{2} sin (\frac{6 x}{5}) + 10 x sin (1.2 x)

Solution steps

y^{''} (x) + 1.44 y = 24 cos (1.2 x)

Solve linear ODE:

y = c_{1} cos (\frac{6 x}{5}) + c_{2} sin (\frac{6 x}{5}) + 10 x sin (1.2 x)

y = c_{1} cos (\frac{6 x}{5}) + c_{2} sin (\frac{6 x}{5}) + 10 x sin (1.2 x)

y^{^{''}} + y = 5 e^{- 4 x}, y (0) = 0, y^{^{'}} (0) = 0

6 y^{^{''}} - y^{^{'}} - 2 y = 3 sin (10 x)

y^{^{''}} - 7 y^{^{'}} + 12 y = 5 x - 8

y^{^{''}} + y = 10 sin (2 t) + 7 t cos (2 t)

y^{^{''}} - 10 y^{^{'}} + 25 y = 6 e^{5 x}

What is the solution for y^{''}+1.44y=24cos(1.2x) ?
The solution for y^{''}+1.44y=24cos(1.2x) is y=c_{1}cos((6x)/5)+c_{2}sin((6x)/5)+10xsin(1.2x)