What is the solution for y^{''}+7y+6y=e^{6x} ?

The solution for y^{''}+7y+6y=e^{6x} is y=c_{1}cos(sqrt(13)x)+c_{2}sin(sqrt(13)x)+1/49 e^{6x}

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y^{''}+7y+6y=e^{6x}

y^{^{''}} + 7 y + 6 y = e^{6 x}

y = c_{1} cos (13 x) + c_{2} sin (13 x) + \frac{1}{49} e^{6 x}

Solution steps

y^{''} (x) + 7 y + 6 y = e^{6 x}

Solve linear ODE:

y = c_{1} cos (13 x) + c_{2} sin (13 x) + \frac{1}{49} e^{6 x}

y = c_{1} cos (13 x) + c_{2} sin (13 x) + \frac{1}{49} e^{6 x}

What is the solution for y^{''}+7y+6y=e^{6x} ?
The solution for y^{''}+7y+6y=e^{6x} is y=c_{1}cos(sqrt(13)x)+c_{2}sin(sqrt(13)x)+1/49 e^{6x}