What is the solution for (D^4-1)y=7x^2 ?

The solution for (D^4-1)y=7x^2 is y=c_{1}e^x+c_{2}e^{-x}+c_{3}cos(x)+c_{4}sin(x)-7x^2

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(D^4-1)y=7x^2

(D^{4} - 1) y = 7 x^{2}

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - 7 x^{2}

Solution steps

(D^{4} - 1) y = 7 x^{2}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - 7 x^{2}

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - 7 x^{2}

What is the solution for (D^4-1)y=7x^2 ?
The solution for (D^4-1)y=7x^2 is y=c_{1}e^x+c_{2}e^{-x}+c_{3}cos(x)+c_{4}sin(x)-7x^2