What is the solution for (d^2y)/(dx^2)+4y=sin(2) ?

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

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(d^2y)/(dx^2)+4y=sin(2)

\frac{d ^{2} y}{d x ^{2}} + 4 y = sin (2)

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 4 y = sin (2)

Solve linear ODE:

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

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

\int x e^{y^{3}} d y

P = x^{3} - 5 x, (1, - 4)

cos (\frac{1 - e ^{8 x}}{1 + e ^{8 x}})

f (x) = (x^{2} + 3 x + 5) e^{6 x}

\frac{d}{d t} (2 - 2 t)

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