What is the solution for y^{''}+10y=10e^{11x} ?

The solution for y^{''}+10y=10e^{11x} is y=c_{1}cos(sqrt(10)x)+c_{2}sin(sqrt(10)x)+10/131 e^{11x}

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y^{''}+10y=10e^{11x}

y^{^{''}} + 10 y = 10 e^{11 x}

y = c_{1} cos (10 x) + c_{2} sin (10 x) + \frac{10}{131} e^{11 x}

Solution steps

y^{''} (x) + 10 y = 10 e^{11 x}

Solve linear ODE:

y = c_{1} cos (10 x) + c_{2} sin (10 x) + \frac{10}{131} e^{11 x}

y = c_{1} cos (10 x) + c_{2} sin (10 x) + \frac{10}{131} e^{11 x}

y^{^{''}} + 36 y = 33 cos (5 t), y (0) = 0, y^{^{'}} (0) = 0

D (q) = 2300 - 42 q

y^{^{''}} + 2 y^{^{'}} = x

y^{^{''}} - 2 y^{^{'}} + y = 4 x^{2} - 4 + x - 1 e x

y^{^{''}} - 36 y = - 108 t + 72 t^{2}

What is the solution for y^{''}+10y=10e^{11x} ?
The solution for y^{''}+10y=10e^{11x} is y=c_{1}cos(sqrt(10)x)+c_{2}sin(sqrt(10)x)+10/131 e^{11x}