What is the solution for y^{''}-11y^'+10y=2x^2-44x+4 ?

The solution for y^{''}-11y^'+10y=2x^2-44x+4 is y=c_{1}e^{10x}+c_{2}e^x+(x^2)/5-(99x)/(25)-999/250

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y^{''}-11y^'+10y=2x^2-44x+4

y^{^{''}} - 11 y^{^{'}} + 10 y = 2 x^{2} - 44 x + 4

y = c_{1} e^{10 x} + c_{2} e^{x} + \frac{x ^{2}}{5} - \frac{99 x}{25} - \frac{999}{250}

Solution steps

y^{''} (x) - 11 y^{'} (x) + 10 y = 2 x^{2} - 44 x + 4

Solve linear ODE:

y = c_{1} e^{10 x} + c_{2} e^{x} + \frac{x ^{2}}{5} - \frac{99 x}{25} - \frac{999}{250}

y = c_{1} e^{10 x} + c_{2} e^{x} + \frac{x ^{2}}{5} - \frac{99 x}{25} - \frac{999}{250}

y^{^{''}} + 9 y = 11 sec^{2} (3 t)

y^{^{''}} - y^{^{'}} = e x (10 + x^{2})

y^{^{''}} + 9 y = \frac{1}{9} sin (x)

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 7 + 7 sin (x)

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

What is the solution for y^{''}-11y^'+10y=2x^2-44x+4 ?
The solution for y^{''}-11y^'+10y=2x^2-44x+4 is y=c_{1}e^{10x}+c_{2}e^x+(x^2)/5-(99x)/(25)-999/250