What is the solution for y^{''}+11y=2e^{7x} ?

The solution for y^{''}+11y=2e^{7x} is y=c_{1}cos(sqrt(11)x)+c_{2}sin(sqrt(11)x)+1/30 e^{7x}

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y^{''}+11y=2e^{7x}

y^{^{''}} + 11 y = 2 e^{7 x}

y = c_{1} cos (11 x) + c_{2} sin (11 x) + \frac{1}{30} e^{7 x}

Solution steps

y^{''} (x) + 11 y = 2 e^{7 x}

Solve linear ODE:

y = c_{1} cos (11 x) + c_{2} sin (11 x) + \frac{1}{30} e^{7 x}

y = c_{1} cos (11 x) + c_{2} sin (11 x) + \frac{1}{30} e^{7 x}

q^{^{''}} + 160 q^{^{'}} + 1000000000 q = 10

y^{^{''}} + 25 y = sin (9 x)

y^{^{''}} - y = 2 e^{2 t} + 4 t e^{2 t} + t^{2} e^{2 t}

y^{^{''}} + 9 y^{^{'}} = 18 e^{x} sin (x)

y^{^{''}} + 4 y = 3 cos (t)

What is the solution for y^{''}+11y=2e^{7x} ?
The solution for y^{''}+11y=2e^{7x} is y=c_{1}cos(sqrt(11)x)+c_{2}sin(sqrt(11)x)+1/30 e^{7x}