What is the solution for y^{''}+9y=52e^{2x} ?

The solution for y^{''}+9y=52e^{2x} is y=c_{1}cos(3x)+c_{2}sin(3x)+4e^{2x}

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y^{''}+9y=52e^{2x}

y^{^{''}} + 9 y = 52 e^{2 x}

y = c_{1} cos (3 x) + c_{2} sin (3 x) + 4 e^{2 x}

Solution steps

y^{''} (x) + 9 y = 52 e^{2 x}

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + 4 e^{2 x}

y = c_{1} cos (3 x) + c_{2} sin (3 x) + 4 e^{2 x}

What is the solution for y^{''}+9y=52e^{2x} ?
The solution for y^{''}+9y=52e^{2x} is y=c_{1}cos(3x)+c_{2}sin(3x)+4e^{2x}