Consider the differential equation y′′+ y = 0 with the boundary conditions y(0) = 0 and y(π) = 0. Which of the following functions satisfies the boundary conditions?

$$y(x) = sin(\frac{{2x}}{{3}})$$

$$y(x) = sin(\frac{{2x}}{{3}})$$

0%

$$y(x) = sin(\frac{{2x}}{{2}})$$

$$y(x) = sin(\frac{{2x}}{{2}})$$

0%

$$y(x) = sin(\frac{{x}}{{2}})$$

$$y(x) = sin(\frac{{x}}{{2}})$$

0%

$$y(x) = sin(\frac{{3x}}{{2}})$$

$$y(x) = sin(\frac{{3x}}{{2}})$$

100%