What is the solution for (d^2y)/(dx^2)+y=3cos(2x) ?

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

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(d^2y)/(dx^2)+y=3cos(2x)

\frac{d ^{2} y}{d x ^{2}} + y = 3 cos (2 x)

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} + y = 3 cos (2 x)

Solve linear ODE:

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

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

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