What is the solution for (d^2+1)^2y=0 ?

The solution for (d^2+1)^2y=0 is y=c_{1}cos(x)+c_{2}sin(x)+x(c_{3}cos(x)+c_{4}sin(x))

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(d^2+1)^2y=0

(d^{2} + 1)^{2} y = 0

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

Solution steps

(d^{2} + 1)^{2} y = 0

Solve linear ODE:

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

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

What is the solution for (d^2+1)^2y=0 ?
The solution for (d^2+1)^2y=0 is y=c_{1}cos(x)+c_{2}sin(x)+x(c_{3}cos(x)+c_{4}sin(x))